LMFDB - Embedded newform 418.2.j.c.199.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(23,418)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 2]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("418.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.j (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$5$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			199.1
Character	$\chi$	$=$	418.199
Dual form			418.2.j.c.397.1

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.173648 - 0.984808i) q^{2} +(-2.04235 + 1.71374i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-3.54102 - 1.28883i) q^{5} +(2.04235 + 1.71374i) q^{6} +(0.168894 - 0.292534i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.713363 - 4.04568i) q^{9} +O(q^{10})$	\(q+(-0.173648 - 0.984808i) q^{2} +(-2.04235 + 1.71374i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-3.54102 - 1.28883i) q^{5} +(2.04235 + 1.71374i) q^{6} +(0.168894 - 0.292534i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.713363 - 4.04568i) q^{9} +(-0.654355 + 3.71103i) q^{10} +(-0.500000 - 0.866025i) q^{11} +(1.33305 - 2.30891i) q^{12} +(0.595176 + 0.499412i) q^{13} +(-0.317418 - 0.115531i) q^{14} +(9.44073 - 3.43614i) q^{15} +(0.766044 - 0.642788i) q^{16} +(1.30554 + 7.40407i) q^{17} -4.10809 q^{18} +(3.35530 - 2.78244i) q^{19} +3.76828 q^{20} +(0.156384 + 0.886897i) q^{21} +(-0.766044 + 0.642788i) q^{22} +(5.12189 - 1.86421i) q^{23} +(-2.50532 - 0.911860i) q^{24} +(7.04756 + 5.91360i) q^{25} +(0.388474 - 0.672856i) q^{26} +(1.47714 + 2.55849i) q^{27} +(-0.0586564 + 0.332657i) q^{28} +(1.43266 - 8.12500i) q^{29} +(-5.02331 - 8.70062i) q^{30} +(-1.33063 + 2.30471i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(2.50532 + 0.911860i) q^{33} +(7.06488 - 2.57141i) q^{34} +(-0.975085 + 0.818193i) q^{35} +(0.713363 + 4.04568i) q^{36} +8.78201 q^{37} +(-3.32281 - 2.82116i) q^{38} -2.07142 q^{39} +(-0.654355 - 3.71103i) q^{40} +(-7.55583 + 6.34009i) q^{41} +(0.846267 - 0.308016i) q^{42} +(4.82987 + 1.75793i) q^{43} +(0.766044 + 0.642788i) q^{44} +(-7.74022 + 13.4065i) q^{45} +(-2.72530 - 4.72036i) q^{46} +(1.74562 - 9.89993i) q^{47} +(-0.462964 + 2.62560i) q^{48} +(3.44295 + 5.96336i) q^{49} +(4.59997 - 7.96738i) q^{50} +(-15.3550 - 12.8844i) q^{51} +(-0.730092 - 0.265732i) q^{52} +(-5.68065 + 2.06759i) q^{53} +(2.26311 - 1.89898i) q^{54} +(0.654355 + 3.71103i) q^{55} +0.337789 q^{56} +(-2.08433 + 11.4328i) q^{57} -8.25034 q^{58} +(-1.10977 - 6.29382i) q^{59} +(-7.69615 + 6.45784i) q^{60} +(-3.30982 + 1.20468i) q^{61} +(2.50076 + 0.910203i) q^{62} +(-1.06301 - 0.891975i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-1.46388 - 2.53551i) q^{65} +(0.462964 - 2.62560i) q^{66} +(-0.588708 + 3.33873i) q^{67} +(-3.75915 - 6.51103i) q^{68} +(-7.26592 + 12.5849i) q^{69} +(0.975085 + 0.818193i) q^{70} +(-2.99034 - 1.08839i) q^{71} +(3.86034 - 1.40505i) q^{72} +(8.49609 - 7.12907i) q^{73} +(-1.52498 - 8.64859i) q^{74} -24.5279 q^{75} +(-2.20130 + 3.76222i) q^{76} -0.337789 q^{77} +(0.359698 + 2.03995i) q^{78} +(4.55185 - 3.81946i) q^{79} +(-3.54102 + 1.28883i) q^{80} +(4.17962 + 1.52126i) q^{81} +(7.55583 + 6.34009i) q^{82} +(1.38432 - 2.39772i) q^{83} +(-0.450289 - 0.779924i) q^{84} +(4.91963 - 27.9006i) q^{85} +(0.892524 - 5.06176i) q^{86} +(10.9981 + 19.0493i) q^{87} +(0.500000 - 0.866025i) q^{88} +(8.15530 + 6.84311i) q^{89} +(14.5469 + 5.29462i) q^{90} +(0.246617 - 0.0897611i) q^{91} +(-4.17540 + 3.50358i) q^{92} +(-1.23206 - 6.98738i) q^{93} -10.0527 q^{94} +(-15.4673 + 5.52829i) q^{95} +2.66610 q^{96} +(-0.109937 - 0.623486i) q^{97} +(5.27490 - 4.42617i) q^{98} +(-3.86034 + 1.40505i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 12 q^{7} + 15 q^{8}+O(q^{10}) $ 30 * q - 12 * q^7 + 15 * q^8	$ 30 q - 12 q^{7} + 15 q^{8} - 15 q^{11} + 3 q^{12} - 3 q^{13} + 9 q^{14} + 27 q^{15} - 36 q^{18} - 9 q^{19} + 18 q^{20} - 27 q^{21} - 3 q^{23} - 12 q^{25} + 3 q^{27} + 9 q^{28} + 3 q^{29} + 9 q^{30} + 30 q^{31} - 9 q^{34} + 15 q^{35} + 18 q^{37} + 6 q^{38} - 6 q^{41} - 45 q^{42} + 39 q^{43} - 18 q^{45} + 21 q^{46} + 45 q^{47} - 33 q^{49} + 36 q^{50} - 36 q^{51} + 6 q^{52} - 24 q^{53} + 45 q^{54} - 24 q^{56} - 24 q^{57} - 30 q^{58} + 3 q^{59} - 9 q^{60} - 27 q^{61} + 15 q^{62} - 93 q^{63} - 15 q^{64} + 18 q^{65} - 9 q^{67} - 21 q^{68} + 48 q^{69} - 15 q^{70} + 39 q^{73} + 3 q^{74} - 42 q^{75} - 15 q^{76} + 24 q^{77} + 6 q^{78} + 21 q^{79} + 84 q^{81} + 6 q^{82} - 36 q^{83} - 27 q^{84} + 63 q^{85} + 6 q^{86} - 21 q^{87} + 15 q^{88} + 54 q^{89} + 12 q^{90} + 3 q^{91} - 3 q^{92} + 51 q^{93} - 78 q^{94} + 6 q^{95} + 6 q^{96} - 18 q^{97} + 3 q^{98}+O(q^{100}) $ 30 * q - 12 * q^7 + 15 * q^8 - 15 * q^11 + 3 * q^12 - 3 * q^13 + 9 * q^14 + 27 * q^15 - 36 * q^18 - 9 * q^19 + 18 * q^20 - 27 * q^21 - 3 * q^23 - 12 * q^25 + 3 * q^27 + 9 * q^28 + 3 * q^29 + 9 * q^30 + 30 * q^31 - 9 * q^34 + 15 * q^35 + 18 * q^37 + 6 * q^38 - 6 * q^41 - 45 * q^42 + 39 * q^43 - 18 * q^45 + 21 * q^46 + 45 * q^47 - 33 * q^49 + 36 * q^50 - 36 * q^51 + 6 * q^52 - 24 * q^53 + 45 * q^54 - 24 * q^56 - 24 * q^57 - 30 * q^58 + 3 * q^59 - 9 * q^60 - 27 * q^61 + 15 * q^62 - 93 * q^63 - 15 * q^64 + 18 * q^65 - 9 * q^67 - 21 * q^68 + 48 * q^69 - 15 * q^70 + 39 * q^73 + 3 * q^74 - 42 * q^75 - 15 * q^76 + 24 * q^77 + 6 * q^78 + 21 * q^79 + 84 * q^81 + 6 * q^82 - 36 * q^83 - 27 * q^84 + 63 * q^85 + 6 * q^86 - 21 * q^87 + 15 * q^88 + 54 * q^89 + 12 * q^90 + 3 * q^91 - 3 * q^92 + 51 * q^93 - 78 * q^94 + 6 * q^95 + 6 * q^96 - 18 * q^97 + 3 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$3$	−2.04235	+	1.71374i	−1.17915	+	0.989426i	−0.179168	+	0.983819i	$0.557341\pi$
$3$	−2.04235	+	1.71374i	−1.17915	+	0.989426i	−0.999984	+	0.00560766i	$0.998215\pi$
$4$	−0.939693	+	0.342020i	−0.469846	+	0.171010i
$5$	−3.54102	−	1.28883i	−1.58359	−	0.576381i	−0.607613	−	0.794234i	$-0.707873\pi$
$5$	−3.54102	−	1.28883i	−1.58359	−	0.576381i	−0.975982	+	0.217852i	$0.930095\pi$
$6$	2.04235	+	1.71374i	0.833787	+	0.699630i
$7$	0.168894	−	0.292534i	0.0638361	−	0.110567i	−0.832341	−	0.554264i	$-0.813000\pi$
$7$	0.168894	−	0.292534i	0.0638361	−	0.110567i	0.896177	+	0.443697i	$0.146333\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	0.713363	−	4.04568i	0.237788	−	1.34856i
$10$	−0.654355	+	3.71103i	−0.206925	+	1.17353i
$11$	−0.500000	−	0.866025i	−0.150756	−	0.261116i
$11$	−0.500000	−	0.866025i	−0.150756	−	0.261116i
$12$	1.33305	−	2.30891i	0.384818	−	0.666525i
$13$	0.595176	+	0.499412i	0.165072	+	0.138512i	0.721582	−	0.692329i	$-0.243415\pi$
$13$	0.595176	+	0.499412i	0.165072	+	0.138512i	−0.556510	+	0.830841i	$0.687860\pi$
$14$	−0.317418	−	0.115531i	−0.0848334	−	0.0308768i
$15$	9.44073	−	3.43614i	2.43759	−	0.887209i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	1.30554	+	7.40407i	0.316639	+	1.79575i	0.562875	+	0.826542i	$0.309695\pi$
$17$	1.30554	+	7.40407i	0.316639	+	1.79575i	−0.246236	+	0.969210i	$0.579194\pi$
$18$	−4.10809			−0.968287
$19$	3.35530	−	2.78244i	0.769758	−	0.638336i
$19$	3.35530	−	2.78244i	0.769758	−	0.638336i
$20$	3.76828			0.842613
$21$	0.156384	+	0.886897i	0.0341258	+	0.193537i
$22$	−0.766044	+	0.642788i	−0.163321	+	0.137043i
$23$	5.12189	−	1.86421i	1.06799	−	0.388716i	0.252564	−	0.967580i	$-0.418726\pi$
$23$	5.12189	−	1.86421i	1.06799	−	0.388716i	0.815424	+	0.578865i	$0.196504\pi$
$24$	−2.50532	−	0.911860i	−0.511395	−	0.186133i
$25$	7.04756	+	5.91360i	1.40951	+	1.18272i
$26$	0.388474	−	0.672856i	0.0761859	−	0.131958i
$27$	1.47714	+	2.55849i	0.284276	+	0.492381i
$28$	−0.0586564	+	0.332657i	−0.0110850	+	0.0628663i
$29$	1.43266	−	8.12500i	0.266038	−	1.50877i	−0.500026	−	0.866010i	$-0.666676\pi$
$29$	1.43266	−	8.12500i	0.266038	−	1.50877i	0.766064	−	0.642764i	$-0.222213\pi$
$30$	−5.02331	−	8.70062i	−0.917126	−	1.58851i
$31$	−1.33063	+	2.30471i	−0.238988	+	0.413939i	−0.960424	−	0.278542i	$-0.910149\pi$
$31$	−1.33063	+	2.30471i	−0.238988	+	0.413939i	0.721436	+	0.692481i	$0.243482\pi$
$32$	−0.766044	−	0.642788i	−0.135419	−	0.113630i
$33$	2.50532	+	0.911860i	0.436119	+	0.158734i
$34$	7.06488	−	2.57141i	1.21162	−	0.440993i
$35$	−0.975085	+	0.818193i	−0.164819	+	0.138300i
$36$	0.713363	+	4.04568i	0.118894	+	0.674280i
$37$	8.78201			1.44375			0.721877	−	0.692022i	$-0.243280\pi$
$37$	8.78201			1.44375			0.721877	+	0.692022i	$0.243280\pi$
$38$	−3.32281	−	2.82116i	−0.539031	−	0.457652i
$39$	−2.07142			−0.331693
$40$	−0.654355	−	3.71103i	−0.103463	−	0.586766i
$41$	−7.55583	+	6.34009i	−1.18002	+	0.990156i	−0.180043	+	0.983659i	$0.557624\pi$
$41$	−7.55583	+	6.34009i	−1.18002	+	0.990156i	−0.999979	+	0.00649742i	$0.997932\pi$
$42$	0.846267	−	0.308016i	0.130582	−	0.0475279i
$43$	4.82987	+	1.75793i	0.736548	+	0.268082i	0.682934	−	0.730480i	$-0.260704\pi$
$43$	4.82987	+	1.75793i	0.736548	+	0.268082i	0.0536143	+	0.998562i	$0.482926\pi$
$44$	0.766044	+	0.642788i	0.115486	+	0.0969039i
$45$	−7.74022	+	13.4065i	−1.15384	+	1.99852i
$46$	−2.72530	−	4.72036i	−0.401823	−	0.695979i
$47$	1.74562	−	9.89993i	0.254626	−	1.44405i	−0.542406	−	0.840116i	$-0.682487\pi$
$47$	1.74562	−	9.89993i	0.254626	−	1.44405i	0.797032	−	0.603937i	$-0.206402\pi$
$48$	−0.462964	+	2.62560i	−0.0668230	+	0.378972i
$49$	3.44295	+	5.96336i	0.491850	+	0.851909i
$50$	4.59997	−	7.96738i	0.650533	−	1.12676i
$51$	−15.3550	−	12.8844i	−2.15013	−	1.80417i
$52$	−0.730092	−	0.265732i	−0.101245	−	0.0368503i
$53$	−5.68065	+	2.06759i	−0.780297	+	0.284005i	−0.701296	−	0.712870i	$-0.747395\pi$
$53$	−5.68065	+	2.06759i	−0.780297	+	0.284005i	−0.0790004	+	0.996875i	$0.525173\pi$
$54$	2.26311	−	1.89898i	0.307971	−	0.258418i
$55$	0.654355	+	3.71103i	0.0882332	+	0.500395i
$56$	0.337789			0.0451389
$57$	−2.08433	+	11.4328i	−0.276076	+	1.51431i
$58$	−8.25034			−1.08332
$59$	−1.10977	−	6.29382i	−0.144480	−	0.819385i	−0.967783	−	0.251784i	$-0.918983\pi$
$59$	−1.10977	−	6.29382i	−0.144480	−	0.819385i	0.823304	−	0.567601i	$-0.192128\pi$
$60$	−7.69615	+	6.45784i	−0.993569	+	0.833703i
$61$	−3.30982	+	1.20468i	−0.423779	+	0.154243i	−0.545101	−	0.838370i	$-0.683509\pi$
$61$	−3.30982	+	1.20468i	−0.423779	+	0.154243i	0.121322	+	0.992613i	$0.461287\pi$
$62$	2.50076	+	0.910203i	0.317597	+	0.115596i
$63$	−1.06301	−	0.891975i	−0.133927	−	0.112378i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−1.46388	−	2.53551i	−0.181572	−	0.314491i
$66$	0.462964	−	2.62560i	0.0569869	−	0.323189i
$67$	−0.588708	+	3.33873i	−0.0719222	+	0.407891i	0.927498	+	0.373829i	$0.121955\pi$
$67$	−0.588708	+	3.33873i	−0.0719222	+	0.407891i	−0.999420	+	0.0340616i	$0.989156\pi$
$68$	−3.75915	−	6.51103i	−0.455863	−	0.789579i
$69$	−7.26592	+	12.5849i	−0.874714	+	1.51505i
$70$	0.975085	+	0.818193i	0.116545	+	0.0977928i
$71$	−2.99034	−	1.08839i	−0.354888	−	0.129169i	0.158423	−	0.987371i	$-0.449359\pi$
$71$	−2.99034	−	1.08839i	−0.354888	−	0.129169i	−0.513311	+	0.858203i	$0.671581\pi$
$72$	3.86034	−	1.40505i	0.454946	−	0.165587i
$73$	8.49609	−	7.12907i	0.994392	−	0.834394i	0.00819438	−	0.999966i	$-0.497392\pi$
$73$	8.49609	−	7.12907i	0.994392	−	0.834394i	0.986198	+	0.165572i	$0.0529472\pi$
$74$	−1.52498	−	8.64859i	−0.177275	−	1.00538i
$75$	−24.5279			−2.83224
$76$	−2.20130	+	3.76222i	−0.252506	+	0.431556i
$77$	−0.337789			−0.0384946
$78$	0.359698	+	2.03995i	0.0407278	+	0.230979i
$79$	4.55185	−	3.81946i	0.512124	−	0.429723i	−0.349752	−	0.936842i	$-0.613734\pi$
$79$	4.55185	−	3.81946i	0.512124	−	0.429723i	0.861876	+	0.507120i	$0.169290\pi$
$80$	−3.54102	+	1.28883i	−0.395899	+	0.144095i
$81$	4.17962	+	1.52126i	0.464402	+	0.169028i
$82$	7.55583	+	6.34009i	0.834402	+	0.700146i
$83$	1.38432	−	2.39772i	0.151949	−	0.263184i	−0.779995	−	0.625786i	$-0.784778\pi$
$83$	1.38432	−	2.39772i	0.151949	−	0.263184i	0.931944	+	0.362602i	$0.118112\pi$
$84$	−0.450289	−	0.779924i	−0.0491306	−	0.0850967i
$85$	4.91963	−	27.9006i	0.533609	−	3.02625i
$86$	0.892524	−	5.06176i	0.0962433	−	0.545823i
$87$	10.9981	+	19.0493i	1.17912	+	2.04230i
$88$	0.500000	−	0.866025i	0.0533002	−	0.0923186i
$89$	8.15530	+	6.84311i	0.864460	+	0.725368i	0.962924	−	0.269773i	$-0.0869486\pi$
$89$	8.15530	+	6.84311i	0.864460	+	0.725368i	−0.0984644	+	0.995141i	$0.531393\pi$
$90$	14.5469	+	5.29462i	1.53337	+	0.558102i
$91$	0.246617	−	0.0897611i	0.0258525	−	0.00940952i
$92$	−4.17540	+	3.50358i	−0.435316	+	0.365273i
$93$	−1.23206	−	6.98738i	−0.127759	−	0.724558i
$94$	−10.0527			−1.03685
$95$	−15.4673	+	5.52829i	−1.58691	+	0.567190i
$96$	2.66610			0.272108
$97$	−0.109937	−	0.623486i	−0.0111625	−	0.0633055i	0.978718	−	0.205211i	$-0.0657881\pi$
$97$	−0.109937	−	0.623486i	−0.0111625	−	0.0633055i	−0.989880	+	0.141906i	$0.954677\pi$
$98$	5.27490	−	4.42617i	0.532846	−	0.447111i
$99$	−3.86034	+	1.40505i	−0.387979	+	0.141213i
$100$	−8.64511	−	3.14656i	−0.864511	−	0.314656i
$101$	3.92957	+	3.29730i	0.391007	+	0.328094i	0.817005	−	0.576630i	$-0.195633\pi$
$101$	3.92957	+	3.29730i	0.391007	+	0.328094i	−0.425998	+	0.904724i	$0.640077\pi$
$102$	−10.0223	+	17.3591i	−0.992352	+	1.71880i
$103$	1.48665	+	2.57496i	0.146484	+	0.253718i	0.929926	−	0.367747i	$-0.119871\pi$
$103$	1.48665	+	2.57496i	0.146484	+	0.253718i	−0.783441	+	0.621466i	$0.786538\pi$
$104$	−0.134915	+	0.765144i	−0.0132295	+	0.0750285i
$105$	0.589298	−	3.34208i	0.0575096	−	0.326153i
$106$	3.02261	+	5.23531i	0.293582	+	0.508499i
$107$	0.817965	−	1.41676i	0.0790757	−	0.136963i	−0.823776	−	0.566916i	$-0.808136\pi$
$107$	0.817965	−	1.41676i	0.0790757	−	0.136963i	0.902851	+	0.429953i	$0.141470\pi$
$108$	−2.26311	−	1.89898i	−0.217768	−	0.182729i
$109$	−0.471558	−	0.171633i	−0.0451671	−	0.0164395i	0.319338	−	0.947641i	$-0.396540\pi$
$109$	−0.471558	−	0.171633i	−0.0451671	−	0.0164395i	−0.364505	+	0.931201i	$0.618762\pi$
$110$	3.54102	−	1.28883i	0.337623	−	0.122885i
$111$	−17.9359	+	15.0500i	−1.70241	+	1.42849i
$112$	−0.0586564	−	0.332657i	−0.00554251	−	0.0314331i
$113$	7.85902			0.739315			0.369657	−	0.929168i	$-0.379475\pi$
$113$	7.85902			0.739315			0.369657	+	0.929168i	$0.379475\pi$
$114$	11.6211	+	0.0673767i	1.08841	+	0.00631041i
$115$	−20.5394			−1.91531
$116$	1.43266	+	8.12500i	0.133019	+	0.754387i
$117$	2.44504	−	2.05163i	0.226044	−	0.189673i
$118$	−6.00549	+	2.18582i	−0.552850	+	0.201221i
$119$	2.38644	+	0.868593i	0.218764	+	0.0796238i
$120$	7.69615	+	6.45784i	0.702559	+	0.589517i
$121$	−0.500000	+	0.866025i	−0.0454545	+	0.0787296i
$122$	1.76112	+	3.05035i	0.159444	+	0.276166i
$123$	4.56641	−	25.8974i	0.411739	−	2.33509i
$124$	0.462122	−	2.62082i	0.0414998	−	0.235357i
$125$	−7.91326	−	13.7062i	−0.707783	−	1.22592i
$126$	−0.693834	+	1.20176i	−0.0618116	+	0.107061i
$127$	12.1526	+	10.1973i	1.07837	+	0.904860i	0.995784	−	0.0917239i	$-0.0292377\pi$
$127$	12.1526	+	10.1973i	1.07837	+	0.904860i	0.0825858	+	0.996584i	$0.473682\pi$
$128$	0.939693	+	0.342020i	0.0830579	+	0.0302306i
$129$	−12.8769	+	4.68682i	−1.13375	+	0.412651i
$130$	−2.24279	+	1.88192i	−0.196706	+	0.165056i
$131$	0.198878	+	1.12789i	0.0173760	+	0.0985444i	0.992262	−	0.124159i	$-0.0396231\pi$
$131$	0.198878	+	1.12789i	0.0173760	+	0.0985444i	−0.974886	+	0.222703i	$0.928512\pi$
$132$	−2.66610			−0.232054
$133$	−0.247266	−	1.45148i	−0.0214407	−	0.125859i
$134$	3.39024			0.292872
$135$	−1.93315	−	10.9634i	−0.166379	−	0.943583i
$136$	−5.75935	+	4.83267i	−0.493860	+	0.414398i
$137$	15.0592	−	5.48111i	1.28660	−	0.468283i	0.393988	−	0.919116i	$-0.371095\pi$
$137$	15.0592	−	5.48111i	1.28660	−	0.468283i	0.892608	+	0.450833i	$0.148873\pi$
$138$	13.6555	+	4.97018i	1.16243	+	0.423090i
$139$	12.1230	+	10.1724i	1.02826	+	0.862813i	0.990643	−	0.136479i	$-0.0435787\pi$
$139$	12.1230	+	10.1724i	1.02826	+	0.862813i	0.0376177	+	0.999292i	$0.488023\pi$
$140$	0.636441	−	1.10235i	0.0537891	−	0.0931655i
$141$	13.4007	+	23.2107i	1.12854	+	1.95469i
$142$	−0.552592	+	3.13391i	−0.0463725	+	0.262992i
$143$	0.134915	−	0.765144i	0.0112822	−	0.0639845i
$144$	−2.05405	−	3.55771i	−0.171171	−	0.296476i
$145$	−15.5448	+	26.9244i	−1.29092	+	2.23595i
$146$	−8.49609	−	7.12907i	−0.703141	−	0.590006i
$147$	−17.2513	−	6.27898i	−1.42287	−	0.517881i
$148$	−8.25239	+	3.00362i	−0.678342	+	0.246896i
$149$	−8.83692	+	7.41506i	−0.723949	+	0.607465i	−0.928475	−	0.371396i	$-0.878879\pi$
$149$	−8.83692	+	7.41506i	−0.723949	+	0.607465i	0.204526	+	0.978861i	$0.434435\pi$
$150$	4.25923	+	24.1553i	0.347765	+	1.97227i
$151$	0.450509			0.0366619			0.0183309	−	0.999832i	$-0.494165\pi$
$151$	0.450509			0.0366619			0.0183309	+	0.999832i	$0.494165\pi$
$152$	4.08731	+	1.51455i	0.331525	+	0.122847i
$153$	30.8858			2.49697
$154$	0.0586564	+	0.332657i	0.00472667	+	0.0268063i
$155$	7.68217	−	6.44610i	0.617046	−	0.517763i
$156$	1.94650	−	0.708467i	0.155845	−	0.0567228i
$157$	21.8596	+	7.95624i	1.74459	+	0.634977i	0.999489	−	0.0319790i	$-0.0101810\pi$
$157$	21.8596	+	7.95624i	1.74459	+	0.634977i	0.745097	+	0.666956i	$0.232403\pi$
$158$	−4.55185	−	3.81946i	−0.362126	−	0.303860i
$159$	8.05858	−	13.9579i	0.639087	−	1.10693i
$160$	1.88414	+	3.26343i	0.148954	+	0.257996i
$161$	0.319712	−	1.81318i	0.0251969	−	0.142899i
$162$	0.772362	−	4.38028i	0.0606825	−	0.344147i
$163$	−10.6885	−	18.5130i	−0.837185	−	1.45005i	−0.892239	−	0.451564i	$-0.850866\pi$
$163$	−10.6885	−	18.5130i	−0.837185	−	1.45005i	0.0550533	−	0.998483i	$-0.482467\pi$
$164$	4.93172	−	8.54198i	0.385102	−	0.667017i
$165$	−7.69615	−	6.45784i	−0.599145	−	0.502742i
$166$	−2.60168	−	0.946933i	−0.201929	−	0.0734962i
$167$	0.766414	−	0.278952i	0.0593069	−	0.0215860i	−0.312196	−	0.950018i	$-0.601065\pi$
$167$	0.766414	−	0.278952i	0.0593069	−	0.0215860i	0.371503	+	0.928432i	$0.378842\pi$
$168$	−0.689883	+	0.578881i	−0.0532257	+	0.0446616i
$169$	−2.15260	−	12.2080i	−0.165585	−	0.939079i
$170$	−28.3310			−2.17289
$171$	−8.86332	−	15.5594i	−0.677795	−	1.18985i
$172$	−5.13984			−0.391909
$173$	1.02188	+	5.79536i	0.0776920	+	0.440613i	0.998696	+	0.0510591i	$0.0162597\pi$
$173$	1.02188	+	5.79536i	0.0776920	+	0.440613i	−0.921004	+	0.389554i	$0.872629\pi$
$174$	16.8501	−	14.1389i	1.27740	−	1.07187i
$175$	2.92022	−	1.06287i	0.220748	−	0.0803457i
$176$	−0.939693	−	0.342020i	−0.0708320	−	0.0257807i
$177$	13.0525	+	10.9523i	0.981085	+	0.823228i
$178$	5.32299	−	9.21969i	0.398975	−	0.691045i
$179$	3.40685	+	5.90084i	0.254640	+	0.441049i	0.964798	−	0.262993i	$-0.0847097\pi$
$179$	3.40685	+	5.90084i	0.254640	+	0.441049i	−0.710158	+	0.704043i	$0.751376\pi$
$180$	2.68815	−	15.2453i	0.200363	−	1.13631i
$181$	2.18881	−	12.4134i	0.162693	−	0.922679i	−0.788718	−	0.614755i	$-0.789255\pi$
$181$	2.18881	−	12.4134i	0.162693	−	0.922679i	0.951411	−	0.307924i	$-0.0996341\pi$
$182$	−0.131222	−	0.227283i	−0.00972682	−	0.0168474i
$183$	4.69532	−	8.13254i	0.347088	−	0.601174i
$184$	4.17540	+	3.50358i	0.307815	+	0.258287i
$185$	−31.0973	−	11.3185i	−2.28632	−	0.832152i
$186$	−6.66728	+	2.42669i	−0.488869	+	0.177934i
$187$	5.75935	−	4.83267i	0.421165	−	0.353400i
$188$	1.74562	+	9.89993i	0.127313	+	0.722027i
$189$	0.997924			0.0725883
$190$	8.13017	+	14.2723i	0.589824	+	1.03542i
$191$	−4.96234			−0.359062			−0.179531	−	0.983752i	$-0.557458\pi$
$191$	−4.96234			−0.359062			−0.179531	+	0.983752i	$0.557458\pi$
$192$	−0.462964	−	2.62560i	−0.0334115	−	0.189486i
$193$	−13.5963	+	11.4087i	−0.978685	+	0.821214i	−0.983890	−	0.178773i	$-0.942787\pi$
$193$	−13.5963	+	11.4087i	−0.978685	+	0.821214i	0.00520579	+	0.999986i	$0.498343\pi$
$194$	−0.594924	+	0.216535i	−0.0427130	+	0.0155463i
$195$	7.33495	+	2.66970i	0.525266	+	0.191181i
$196$	−5.27490	−	4.42617i	−0.376779	−	0.316155i
$197$	9.37715	−	16.2417i	0.668094	−	1.15717i	−0.310342	−	0.950625i	$-0.600444\pi$
$197$	9.37715	−	16.2417i	0.668094	−	1.15717i	0.978436	−	0.206548i	$-0.0662231\pi$
$198$	2.05405	+	3.55771i	0.145975	+	0.252836i
$199$	3.28593	−	18.6354i	0.232933	−	1.32103i	−0.613989	−	0.789315i	$-0.710436\pi$
$199$	3.28593	−	18.6354i	0.232933	−	1.32103i	0.846922	−	0.531717i	$-0.178453\pi$
$200$	−1.59755	+	9.06016i	−0.112964	+	0.640650i
$201$	−4.51935	−	7.82775i	−0.318771	−	0.552127i
$202$	2.56484	−	4.44244i	0.180462	−	0.312569i
$203$	−2.13487	−	1.79137i	−0.149838	−	0.125729i
$204$	18.8357	+	6.85563i	1.31876	+	0.479990i
$205$	34.9267	−	12.7123i	2.43938	−	0.887863i
$206$	2.27768	−	1.91120i	0.158694	−	0.133160i
$207$	−3.88825	−	22.0514i	−0.270252	−	1.53268i
$208$	0.776947			0.0538716
$209$	−4.08731	−	1.51455i	−0.282725	−	0.104764i
$210$	−3.39363			−0.234183
$211$	−2.32024	−	13.1587i	−0.159732	−	0.905884i	−0.954331	−	0.298750i	$-0.903430\pi$
$211$	−2.32024	−	13.1587i	−0.159732	−	0.905884i	0.794600	−	0.607134i	$-0.207681\pi$
$212$	4.63091	−	3.88579i	0.318052	−	0.266877i
$213$	7.97255	−	2.90177i	0.546270	−	0.198826i
$214$	−1.53727	−	0.559521i	−0.105086	−	0.0382481i
$215$	−14.8370	−	12.4497i	−1.01188	−	0.849065i
$216$	−1.47714	+	2.55849i	−0.100507	+	0.174083i
$217$	0.449471	+	0.778507i	0.0305121	+	0.0528485i
$218$	−0.0871404	+	0.494198i	−0.00590189	+	0.0334713i
$219$	−5.13466	+	29.1201i	−0.346968	+	1.96775i
$220$	−1.88414	−	3.26343i	−0.127029	−	0.220020i
$221$	−2.92066	+	5.05873i	−0.196465	+	0.340287i
$222$	17.9359	+	15.0500i	1.20378	+	1.01009i
$223$	2.90098	+	1.05587i	0.194264	+	0.0707064i	0.437320	−	0.899306i	$-0.355928\pi$
$223$	2.90098	+	1.05587i	0.194264	+	0.0707064i	−0.243056	+	0.970012i	$0.578150\pi$
$224$	−0.317418	+	0.115531i	−0.0212084	+	0.00771921i
$225$	28.9520	−	24.2936i	1.93013	−	1.61957i
$226$	−1.36470	−	7.73963i	−0.0907788	−	0.514832i
$227$	−2.42940			−0.161245			−0.0806224	−	0.996745i	$-0.525691\pi$
$227$	−2.42940			−0.161245			−0.0806224	+	0.996745i	$0.525691\pi$
$228$	−1.95162	−	11.4562i	−0.129249	−	0.758707i
$229$	−15.3759			−1.01607			−0.508035	−	0.861336i	$-0.669628\pi$
$229$	−15.3759			−1.01607			−0.508035	+	0.861336i	$0.669628\pi$
$230$	3.56663	+	20.2273i	0.235176	+	1.33375i
$231$	0.689883	−	0.578881i	0.0453910	−	0.0380876i
$232$	7.75278	−	2.82178i	0.508995	−	0.185259i
$233$	−10.0179	−	3.64622i	−0.656295	−	0.238872i	−0.00765883	−	0.999971i	$-0.502438\pi$
$233$	−10.0179	−	3.64622i	−0.656295	−	0.238872i	−0.648636	+	0.761099i	$0.724660\pi$
$234$	−2.44504	−	2.05163i	−0.159837	−	0.134119i
$235$	−18.9406	+	32.8061i	−1.23555	+	2.14003i
$236$	3.19545	+	5.53469i	0.208006	+	0.360278i
$237$	−2.75094	+	15.6014i	−0.178693	+	1.01342i
$238$	0.440996	−	2.50101i	0.0285855	−	0.162117i
$239$	−2.70633	−	4.68749i	−0.175058	−	0.303209i	0.765124	−	0.643883i	$-0.222678\pi$
$239$	−2.70633	−	4.68749i	−0.175058	−	0.303209i	−0.940181	+	0.340675i	$0.889345\pi$
$240$	5.02331	−	8.70062i	0.324253	−	0.561623i
$241$	−2.44838	−	2.05443i	−0.157714	−	0.132338i	0.560516	−	0.828144i	$-0.310603\pi$
$241$	−2.44838	−	2.05443i	−0.157714	−	0.132338i	−0.718230	+	0.695806i	$0.755047\pi$
$242$	0.939693	+	0.342020i	0.0604057	+	0.0219859i
$243$	−19.4716	+	7.08710i	−1.24911	+	0.454637i
$244$	2.69819	−	2.26405i	0.172734	−	0.144941i
$245$	−4.50582	−	25.5538i	−0.287866	−	1.63257i
$246$	−26.2969			−1.67663
$247$	3.38658	+	0.0196347i	0.215483	+	0.00124933i
$248$	−2.66126			−0.168990
$249$	1.28178	+	7.26935i	0.0812296	+	0.460676i
$250$	−12.1238	+	10.1731i	−0.766778	+	0.643403i
$251$	9.73332	−	3.54264i	0.614362	−	0.223609i	−0.0160488	−	0.999871i	$-0.505109\pi$
$251$	9.73332	−	3.54264i	0.614362	−	0.223609i	0.630411	+	0.776262i	$0.282886\pi$
$252$	1.30398	+	0.474610i	0.0821431	+	0.0298976i
$253$	−4.17540	−	3.50358i	−0.262505	−	0.220268i
$254$	7.93206	−	13.7387i	0.497701	−	0.862044i
$255$	37.7667	+	65.4138i	2.36504	+	4.09637i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	−4.20052	+	23.8223i	−0.262021	+	1.48600i	0.515364	+	0.856971i	$0.327657\pi$
$257$	−4.20052	+	23.8223i	−0.262021	+	1.48600i	−0.777386	+	0.629024i	$0.783455\pi$
$258$	6.85167	+	11.8674i	0.426566	+	0.738834i
$259$	1.48323	−	2.56903i	0.0921636	−	0.159632i
$260$	2.24279	+	1.88192i	0.139092	+	0.116712i
$261$	−31.8491	−	11.5921i	−1.97141	−	0.717536i
$262$	1.07622	−	0.391713i	0.0664892	−	0.0242001i
$263$	20.9791	−	17.6036i	1.29363	−	1.08548i	0.302421	−	0.953174i	$-0.402205\pi$
$263$	20.9791	−	17.6036i	1.29363	−	1.08548i	0.991208	−	0.132310i	$-0.0422393\pi$
$264$	0.462964	+	2.62560i	0.0284934	+	0.161594i
$265$	22.7801			1.39937
$266$	−1.38649	+	0.495556i	−0.0850110	+	0.0303845i
$267$	−28.3833			−1.73703
$268$	−0.588708	−	3.33873i	−0.0359611	−	0.203945i
$269$	−20.6777	+	17.3507i	−1.26074	+	1.05789i	−0.265140	+	0.964210i	$0.585418\pi$
$269$	−20.6777	+	17.3507i	−1.26074	+	1.05789i	−0.995602	+	0.0936787i	$0.970137\pi$
$270$	−10.4612	+	3.80756i	−0.636648	+	0.231721i
$271$	15.9867	+	5.81869i	0.971124	+	0.353460i	0.778383	−	0.627789i	$-0.216040\pi$
$271$	15.9867	+	5.81869i	0.971124	+	0.353460i	0.192741	+	0.981250i	$0.438262\pi$
$272$	5.75935	+	4.83267i	0.349212	+	0.293023i
$273$	−0.349851	+	0.605960i	−0.0211740	+	0.0366744i
$274$	−8.01284	−	13.8787i	−0.484074	−	0.838440i
$275$	1.59755	−	9.06016i	0.0963360	−	0.546348i
$276$	2.52343	−	14.3111i	0.151893	−	0.861425i
$277$	4.32553	+	7.49203i	0.259896	+	0.450153i	0.966214	−	0.257742i	$-0.0829785\pi$
$277$	4.32553	+	7.49203i	0.259896	+	0.450153i	−0.706318	+	0.707895i	$0.749645\pi$
$278$	7.91274	−	13.7053i	0.474574	−	0.821987i
$279$	8.37492	+	7.02739i	0.501393	+	0.420719i
$280$	−1.19612	−	0.435351i	−0.0714817	−	0.0260172i
$281$	9.76894	−	3.55560i	0.582766	−	0.212110i	−0.0337787	−	0.999429i	$-0.510754\pi$
$281$	9.76894	−	3.55560i	0.582766	−	0.212110i	0.616545	+	0.787320i	$0.288532\pi$
$282$	20.5311	−	17.2276i	1.22261	−	1.02589i
$283$	2.68822	+	15.2456i	0.159798	+	0.906258i	0.954267	+	0.298954i	$0.0966379\pi$
$283$	2.68822	+	15.2456i	0.159798	+	0.906258i	−0.794470	+	0.607304i	$0.792251\pi$
$284$	3.18225			0.188832
$285$	22.1156	−	37.7975i	1.31001	−	2.23893i
$286$	−0.776947			−0.0459418
$287$	0.578554	+	3.28114i	0.0341509	+	0.193680i
$288$	−3.14698	+	2.64063i	−0.185438	+	0.155601i
$289$	−37.1411	+	13.5183i	−2.18477	+	0.795192i
$290$	29.2147	+	10.6333i	1.71554	+	0.624407i
$291$	1.29302	+	1.08497i	0.0757983	+	0.0636023i
$292$	−5.54543	+	9.60496i	−0.324522	+	0.562088i
$293$	3.18234	+	5.51197i	0.185914	+	0.322013i	0.943884	−	0.330277i	$-0.107142\pi$
$293$	3.18234	+	5.51197i	0.185914	+	0.322013i	−0.757970	+	0.652289i	$0.773809\pi$
$294$	−3.18792	+	18.0796i	−0.185923	+	1.05442i
$295$	−4.18192	+	23.7169i	−0.243481	+	1.38085i
$296$	4.39100	+	7.60544i	0.255222	+	0.442057i
$297$	1.47714	−	2.55849i	0.0857125	−	0.148458i
$298$	8.83692	+	7.41506i	0.511909	+	0.429543i
$299$	3.97944	+	1.44840i	0.230137	+	0.0837629i
$300$	23.0487	−	8.38905i	1.33072	−	0.484342i
$301$	1.32999	−	1.11600i	0.0766594	−	0.0643249i
$302$	−0.0782300	−	0.443665i	−0.00450163	−	0.0255300i
$303$	−13.6763			−0.785681
$304$	0.781790	−	4.28822i	0.0448387	−	0.245946i
$305$	13.2728			0.759997
$306$	−5.36327	−	30.4166i	−0.306598	−	1.73880i
$307$	−14.2494	+	11.9567i	−0.813257	+	0.682403i	−0.951383	−	0.308011i	$-0.900337\pi$
$307$	−14.2494	+	11.9567i	−0.813257	+	0.682403i	0.138126	+	0.990415i	$0.455892\pi$
$308$	0.317418	−	0.115531i	0.0180865	−	0.00658296i
$309$	−7.44907	−	2.71124i	−0.423763	−	0.154237i
$310$	−7.68217	−	6.44610i	−0.436318	−	0.366114i
$311$	14.4913	−	25.0996i	0.821723	−	1.42327i	−0.0826744	−	0.996577i	$-0.526346\pi$
$311$	14.4913	−	25.0996i	0.821723	−	1.42327i	0.904398	−	0.426690i	$-0.140321\pi$
$312$	−1.03571	−	1.79390i	−0.0586355	−	0.101560i
$313$	−5.06885	+	28.7469i	−0.286508	+	1.62487i	0.413340	+	0.910577i	$0.364362\pi$
$313$	−5.06885	+	28.7469i	−0.286508	+	1.62487i	−0.699848	+	0.714292i	$0.746749\pi$
$314$	4.03949	−	22.9091i	0.227962	−	1.29283i
$315$	2.61456	+	4.52855i	0.147314	+	0.255155i
$316$	−2.97101	+	5.14594i	−0.167132	+	0.289482i
$317$	16.4156	+	13.7743i	0.921991	+	0.773642i	0.974362	−	0.224986i	$-0.0722335\pi$
$317$	16.4156	+	13.7743i	0.921991	+	0.773642i	−0.0523714	+	0.998628i	$0.516678\pi$
$318$	−15.1452	−	5.51239i	−0.849299	−	0.309120i
$319$	−7.75278	+	2.82178i	−0.434073	+	0.157989i
$320$	2.88667	−	2.42220i	0.161370	−	0.135405i
$321$	0.757376	+	4.29529i	0.0422726	+	0.239740i
$322$	−1.84115			−0.102603
$323$	24.9819	+	21.2103i	1.39003	+	1.18017i
$324$	−4.44786			−0.247103
$325$	1.24121	+	7.03927i	0.0688501	+	0.390468i
$326$	−16.3757	+	13.7408i	−0.906965	+	0.761034i
$327$	1.25722	−	0.457591i	0.0695245	−	0.0253049i
$328$	−9.26860	−	3.37349i	−0.511773	−	0.186270i
$329$	−2.60124	−	2.18270i	−0.143411	−	0.120336i
$330$	−5.02331	+	8.70062i	−0.276524	+	0.478953i
$331$	−5.87731	−	10.1798i	−0.323046	−	0.559532i	0.658069	−	0.752958i	$-0.271374\pi$
$331$	−5.87731	−	10.1798i	−0.323046	−	0.559532i	−0.981115	+	0.193425i	$0.938040\pi$
$332$	−0.480770	+	2.72658i	−0.0263857	+	0.149641i
$333$	6.26476	−	35.5292i	0.343307	−	1.94699i
$334$	−0.407801	−	0.706331i	−0.0223139	−	0.0386487i
$335$	6.38768	−	11.0638i	0.348996	−	0.604479i
$336$	0.689883	+	0.578881i	0.0376362	+	0.0315805i
$337$	−13.6322	−	4.96170i	−0.742591	−	0.270281i	−0.0571063	−	0.998368i	$-0.518187\pi$
$337$	−13.6322	−	4.96170i	−0.742591	−	0.270281i	−0.685485	+	0.728087i	$0.740410\pi$
$338$	−11.6488	+	4.23980i	−0.633609	+	0.230615i
$339$	−16.0509	+	13.4683i	−0.871764	+	0.731497i
$340$	4.91963	+	27.9006i	0.266805	+	1.51312i
$341$	2.66126			0.144115
$342$	−13.7839	+	11.4305i	−0.745347	+	0.618092i
$343$	4.69050			0.253263
$344$	0.892524	+	5.06176i	0.0481217	+	0.272912i
$345$	41.9486	−	35.1991i	2.25844	−	1.89505i
$346$	5.52987	−	2.01271i	0.297287	−	0.108204i
$347$	18.4945	+	6.73143i	0.992835	+	0.361362i	0.786817	−	0.617186i	$-0.211727\pi$
$347$	18.4945	+	6.73143i	0.992835	+	0.361362i	0.206017	+	0.978548i	$0.433950\pi$
$348$	−16.8501	−	14.1389i	−0.903260	−	0.757925i
$349$	4.24855	−	7.35870i	0.227420	−	0.393902i	−0.729623	−	0.683850i	$-0.760304\pi$
$349$	4.24855	−	7.35870i	0.227420	−	0.393902i	0.957043	+	0.289947i	$0.0936378\pi$
$350$	−1.55382	−	2.69129i	−0.0830550	−	0.143855i
$351$	−0.398579	+	2.26045i	−0.0212746	+	0.120654i
$352$	−0.173648	+	0.984808i	−0.00925548	+	0.0524904i
$353$	−14.1716	−	24.5459i	−0.754277	−	1.30645i	−0.945733	−	0.324945i	$-0.894654\pi$
$353$	−14.1716	−	24.5459i	−0.754277	−	1.30645i	0.191456	−	0.981501i	$-0.438679\pi$
$354$	8.51940	−	14.7560i	0.452801	−	0.784275i
$355$	9.18611	+	7.70806i	0.487548	+	0.409102i
$356$	−10.0040	−	3.64114i	−0.530208	−	0.192980i
$357$	−6.36249	+	2.31576i	−0.336738	+	0.122563i
$358$	5.21960	−	4.37976i	0.275864	−	0.231478i
$359$	3.07752	+	17.4535i	0.162425	+	0.921160i	0.951679	+	0.307093i	$0.0993563\pi$
$359$	3.07752	+	17.4535i	0.162425	+	0.921160i	−0.789254	+	0.614067i	$0.789533\pi$
$360$	−15.4804			−0.815891
$361$	3.51606	−	18.6718i	0.185056	−	0.982728i
$362$	−12.6049			−0.662497
$363$	−0.462964	−	2.62560i	−0.0242993	−	0.137808i
$364$	−0.201044	+	0.168696i	−0.0105376	+	0.00884206i
$365$	−39.2730	+	14.2942i	−2.05564	+	0.748193i
$366$	−8.82432	−	3.21179i	−0.461255	−	0.167883i
$367$	−4.11116	−	3.44967i	−0.214601	−	0.180071i	0.529150	−	0.848528i	$-0.322511\pi$
$367$	−4.11116	−	3.44967i	−0.214601	−	0.180071i	−0.743751	+	0.668457i	$0.766955\pi$
$368$	2.72530	−	4.72036i	0.142066	−	0.246066i
$369$	20.2599	+	35.0913i	1.05469	+	1.82678i
$370$	−5.74655	+	32.5903i	−0.298749	+	1.69429i
$371$	−0.354591	+	2.01098i	−0.0184094	+	0.104405i
$372$	3.54759	+	6.14460i	0.183934	+	0.318583i
$373$	−0.379251	+	0.656883i	−0.0196369	+	0.0340121i	−0.875677	−	0.482898i	$-0.839584\pi$
$373$	−0.379251	+	0.656883i	−0.0196369	+	0.0340121i	0.856040	+	0.516910i	$0.172918\pi$
$374$	−5.75935	−	4.83267i	−0.297809	−	0.249891i
$375$	39.6504	+	14.4316i	2.04754	+	0.745243i
$376$	9.44640	−	3.43821i	0.487161	−	0.177312i
$377$	4.91040	−	4.12032i	0.252899	−	0.212207i
$378$	−0.173288	−	0.982764i	−0.00891296	−	0.0505479i
$379$	−12.9103			−0.663160			−0.331580	−	0.943427i	$-0.607582\pi$
$379$	−12.9103			−0.663160			−0.331580	+	0.943427i	$0.607582\pi$
$380$	12.6437	−	10.4850i	0.648608	−	0.537870i
$381$	−42.2953			−2.16685
$382$	0.861701	+	4.88695i	0.0440884	+	0.250038i
$383$	11.7383	−	9.84956i	0.599797	−	0.503289i	−0.291584	−	0.956545i	$-0.594182\pi$
$383$	11.7383	−	9.84956i	0.599797	−	0.503289i	0.891380	+	0.453256i	$0.149738\pi$
$384$	−2.50532	+	0.911860i	−0.127849	+	0.0465332i
$385$	1.19612	+	0.435351i	0.0609598	+	0.0221876i
$386$	13.5963	+	11.4087i	0.692035	+	0.580686i
$387$	10.5575	−	18.2861i	0.536666	−	0.929533i
$388$	0.316552	+	0.548285i	0.0160705	+	0.0278349i
$389$	−4.25846	+	24.1509i	−0.215913	+	1.22450i	0.663403	+	0.748262i	$0.269111\pi$
$389$	−4.25846	+	24.1509i	−0.215913	+	1.22450i	−0.879316	+	0.476239i	$0.842000\pi$
$390$	1.35544	−	7.68710i	0.0686355	−	0.389252i
$391$	20.4896	+	35.4890i	1.03620	+	1.79476i
$392$	−3.44295	+	5.96336i	−0.173895	+	0.301195i
$393$	−2.33909	−	1.96273i	−0.117991	−	0.0990065i
$394$	−17.6233	−	6.41435i	−0.887848	−	0.323150i
$395$	−21.0409	+	7.65824i	−1.05868	+	0.385328i
$396$	3.14698	−	2.64063i	0.158142	−	0.132697i
$397$	0.589548	+	3.34349i	0.0295886	+	0.167805i	0.996021	−	0.0891143i	$-0.0284036\pi$
$397$	0.589548	+	3.34349i	0.0295886	+	0.167805i	−0.966433	+	0.256919i	$0.917293\pi$
$398$	−18.9229			−0.948520
$399$	2.99245	+	2.54068i	0.149810	+	0.127193i
$400$	9.19993			0.459997
$401$	−0.271140	−	1.53771i	−0.0135401	−	0.0767895i	0.977289	−	0.211911i	$-0.0679687\pi$
$401$	−0.271140	−	1.53771i	−0.0135401	−	0.0767895i	−0.990829	+	0.135121i	$0.956858\pi$
$402$	−6.92405	+	5.80997i	−0.345340	+	0.289775i
$403$	−1.94296	+	0.707180i	−0.0967857	+	0.0352271i
$404$	−4.82033	−	1.75446i	−0.239820	−	0.0872875i
$405$	−12.8395	−	10.7736i	−0.637999	−	0.535345i
$406$	−1.39344	+	2.41350i	−0.0691551	+	0.119780i
$407$	−4.39100	−	7.60544i	−0.217654	−	0.376988i
$408$	3.48070	−	19.7400i	0.172320	−	0.977276i
$409$	5.54600	−	31.4529i	0.274232	−	1.55525i	−0.467159	−	0.884174i	$-0.654722\pi$
$409$	5.54600	−	31.4529i	0.274232	−	1.55525i	0.741391	−	0.671074i	$-0.234167\pi$
$410$	−18.5841	−	32.1886i	−0.917803	−	1.58968i
$411$	−21.3630	+	37.0019i	−1.05376	+	1.82517i
$412$	−2.27768	−	1.91120i	−0.112213	−	0.0941582i
$413$	−2.02859	−	0.738345i	−0.0998202	−	0.0363316i
$414$	−21.0412	+	7.65836i	−1.03412	+	0.376388i
$415$	−7.99217	+	6.70623i	−0.392320	+	0.329196i
$416$	−0.134915	−	0.765144i	−0.00661477	−	0.0375143i
$417$	−42.1923			−2.06617
$418$	−0.781790	+	4.28822i	−0.0382386	+	0.209744i
$419$	−11.0892			−0.541741			−0.270871	−	0.962616i	$-0.587312\pi$
$419$	−11.0892			−0.541741			−0.270871	+	0.962616i	$0.587312\pi$
$420$	0.589298	+	3.34208i	0.0287548	+	0.163077i
$421$	−13.5677	+	11.3847i	−0.661249	+	0.554854i	−0.910461	−	0.413595i	$-0.864273\pi$
$421$	−13.5677	+	11.3847i	−0.661249	+	0.554854i	0.249212	+	0.968449i	$0.419829\pi$
$422$	−12.5559	+	4.56998i	−0.611212	+	0.222463i
$423$	−38.8067	−	14.1245i	−1.88685	−	0.686756i
$424$	−4.63091	−	3.88579i	−0.224897	−	0.188711i
$425$	−34.5839	+	59.9011i	−1.67757	+	2.90563i
$426$	−4.24210	−	7.34754i	−0.205531	−	0.355989i
$427$	−0.206602	+	1.17170i	−0.00999817	+	0.0567024i
$428$	−0.284076	+	1.61108i	−0.0137313	+	0.0778743i
$429$	1.03571	+	1.79390i	0.0500045	+	0.0866104i
$430$	−9.68418	+	16.7735i	−0.467013	+	0.808890i
$431$	−22.5406	−	18.9138i	−1.08574	−	0.911045i	−0.0893560	−	0.996000i	$-0.528481\pi$
$431$	−22.5406	−	18.9138i	−1.08574	−	0.911045i	−0.996385	+	0.0849551i	$0.972925\pi$
$432$	2.77612	+	1.01043i	0.133566	+	0.0486141i
$433$	−30.3693	+	11.0535i	−1.45946	+	0.531198i	−0.945215	−	0.326448i	$-0.894148\pi$
$433$	−30.3693	+	11.0535i	−1.45946	+	0.531198i	−0.514240	+	0.857646i	$0.671926\pi$
$434$	0.688630	−	0.577829i	0.0330553	−	0.0277367i
$435$	−14.3933	−	81.6287i	−0.690108	−	3.91380i
$436$	0.501822			0.0240329
$437$	11.9984	−	20.5063i	0.573961	−	0.980951i
$438$	29.5693			1.41288
$439$	−4.25716	−	24.1435i	−0.203183	−	1.15231i	−0.900273	−	0.435325i	$-0.856634\pi$
$439$	−4.25716	−	24.1435i	−0.203183	−	1.15231i	0.697090	−	0.716983i	$-0.254478\pi$
$440$	−2.88667	+	2.42220i	−0.137617	+	0.115474i
$441$	26.5819	−	9.67503i	1.26581	−	0.460716i
$442$	5.48904	+	1.99785i	0.261087	+	0.0950279i
$443$	19.7832	+	16.6001i	0.939927	+	0.788692i	0.977573	−	0.210599i	$-0.0675414\pi$
$443$	19.7832	+	16.6001i	0.939927	+	0.788692i	−0.0376458	+	0.999291i	$0.511986\pi$
$444$	11.7069	−	20.2769i	0.555583	−	0.962298i
$445$	−20.0585	−	34.7424i	−0.950865	−	1.64695i
$446$	0.536080	−	3.04026i	0.0253841	−	0.143960i
$447$	5.34065	−	30.2883i	0.252604	−	1.43259i
$448$	0.168894	+	0.292534i	0.00797951	+	0.0138209i
$449$	−6.41945	+	11.1188i	−0.302953	+	0.524729i	−0.976803	−	0.214138i	$-0.931306\pi$
$449$	−6.41945	+	11.1188i	−0.302953	+	0.524729i	0.673851	+	0.738867i	$0.264639\pi$
$450$	−28.9520	−	24.2936i	−1.36481	−	1.14521i
$451$	9.26860	+	3.37349i	0.436441	+	0.158852i
$452$	−7.38507	+	2.68794i	−0.347364	+	0.126430i
$453$	−0.920097	+	0.772053i	−0.0432299	+	0.0362742i
$454$	0.421861	+	2.39249i	0.0197989	+	0.112285i
$455$	−0.988962			−0.0463633
$456$	−10.9433	+	3.91133i	−0.512466	+	0.183165i
$457$	35.1648			1.64494			0.822470	−	0.568808i	$-0.192595\pi$
$457$	35.1648			1.64494			0.822470	+	0.568808i	$0.192595\pi$
$458$	2.67000	+	15.1423i	0.124761	+	0.707555i
$459$	−17.0148	+	14.2771i	−0.794181	+	0.666397i
$460$	19.3007	−	7.02488i	0.899900	−	0.327537i
$461$	15.1477	+	5.51332i	0.705500	+	0.256781i	0.669757	−	0.742580i	$-0.266398\pi$
$461$	15.1477	+	5.51332i	0.705500	+	0.256781i	0.0357424	+	0.999361i	$0.488620\pi$
$462$	−0.689883	−	0.578881i	−0.0320963	−	0.0269320i
$463$	−21.4688	+	37.1851i	−0.997741	+	1.72814i	−0.440695	+	0.897657i	$0.645268\pi$
$463$	−21.4688	+	37.1851i	−0.997741	+	1.72814i	−0.557046	+	0.830482i	$0.688065\pi$
$464$	−4.12517	−	7.14500i	−0.191506	−	0.331698i
$465$	−4.64276	+	26.3304i	−0.215303	+	1.22104i
$466$	−1.85123	+	10.4989i	−0.0857567	+	0.486351i
$467$	−5.75423	−	9.96663i	−0.266274	−	0.461200i	0.701622	−	0.712549i	$-0.252459\pi$
$467$	−5.75423	−	9.96663i	−0.266274	−	0.461200i	−0.967897	+	0.251348i	$0.919126\pi$
$468$	−1.59589	+	2.76415i	−0.0737698	+	0.127773i
$469$	0.877261	+	0.736110i	0.0405082	+	0.0339904i
$470$	35.5967	+	12.9561i	1.64195	+	0.597622i
$471$	−58.2799	+	21.2121i	−2.68539	+	0.977404i
$472$	4.89572	−	4.10800i	0.225344	−	0.189086i
$473$	−0.892524	−	5.06176i	−0.0410383	−	0.232740i
$474$	15.8420			0.727649
$475$	40.1009	+	0.232497i	1.83996	+	0.0106677i
$476$	−2.53959			−0.116402
$477$	4.31243	+	24.4570i	0.197453	+	1.11981i
$478$	−4.14633	+	3.47919i	−0.189649	+	0.159134i
$479$	37.3103	−	13.5798i	1.70475	−	0.620478i	0.708397	−	0.705814i	$-0.249419\pi$
$479$	37.3103	−	13.5798i	1.70475	−	0.620478i	0.996352	+	0.0853366i	$0.0271966\pi$
$480$	−9.44073	−	3.43614i	−0.430908	−	0.156838i
$481$	5.22684	+	4.38584i	0.238323	+	0.199977i
$482$	−1.59807	+	2.76793i	−0.0727899	+	0.126076i
$483$	2.45435	+	4.25105i	0.111677	+	0.193430i
$484$	0.173648	−	0.984808i	0.00789310	−	0.0447640i
$485$	−0.414275	+	2.34947i	−0.0188113	+	0.106684i
$486$	10.3606	+	17.9452i	0.469968	+	0.814009i
$487$	18.9607	−	32.8408i	0.859190	−	1.48816i	−0.0135130	−	0.999909i	$-0.504301\pi$
$487$	18.9607	−	32.8408i	0.859190	−	1.48816i	0.872703	−	0.488252i	$-0.162365\pi$
$488$	−2.69819	−	2.26405i	−0.122141	−	0.102489i
$489$	53.5560	+	19.4928i	2.42188	+	0.881494i
$490$	−24.3831	+	8.87474i	−1.10152	+	0.400920i
$491$	18.2888	−	15.3461i	0.825361	−	0.692560i	−0.128860	−	0.991663i	$-0.541132\pi$
$491$	18.2888	−	15.3461i	0.825361	−	0.692560i	0.954221	+	0.299103i	$0.0966873\pi$
$492$	4.56641	+	25.8974i	0.205870	+	1.16754i
$493$	62.0285			2.79362
$494$	−0.568737	−	3.33854i	−0.0255887	−	0.150208i
$495$	15.4804			0.695794
$496$	0.462122	+	2.62082i	0.0207499	+	0.117679i
$497$	−0.823443	+	0.690951i	−0.0369365	+	0.0309934i
$498$	6.93633	−	2.52462i	0.310824	−	0.113131i
$499$	−5.51585	−	2.00760i	−0.246923	−	0.0898727i	0.215594	−	0.976483i	$-0.430831\pi$
$499$	−5.51585	−	2.00760i	−0.246923	−	0.0898727i	−0.462517	+	0.886610i	$0.653054\pi$
$500$	12.1238	+	10.1731i	0.542194	+	0.454954i
$501$	−1.08724	+	1.88315i	−0.0485742	+	0.0841329i
$502$	−5.17899	−	8.97028i	−0.231150	−	0.400363i
$503$	2.05225	−	11.6389i	0.0915052	−	0.518952i	−0.904257	−	0.426988i	$-0.859575\pi$
$503$	2.05225	−	11.6389i	0.0915052	−	0.518952i	0.995762	−	0.0919636i	$-0.0293143\pi$
$504$	0.240966	−	1.36659i	0.0107335	−	0.0608726i
$505$	−9.66505	−	16.7404i	−0.430089	−	0.744936i
$506$	−2.72530	+	4.72036i	−0.121154	+	0.209845i
$507$	25.3177	+	21.2441i	1.12440	+	0.943483i
$508$	−14.9074	−	5.42585i	−0.661408	−	0.240733i
$509$	−17.1082	+	6.22686i	−0.758306	+	0.276001i	−0.692096	−	0.721805i	$-0.743313\pi$
$509$	−17.1082	+	6.22686i	−0.758306	+	0.276001i	−0.0662093	+	0.997806i	$0.521091\pi$
$510$	57.8619	−	48.5519i	2.56217	−	2.14992i
$511$	−0.650550	−	3.68945i	−0.0287786	−	0.163212i
$512$	−1.00000			−0.0441942
$513$	12.0751	+	4.47442i	0.533128	+	0.197551i
$514$	24.1898			1.06697
$515$	−1.94560	−	11.0340i	−0.0857332	−	0.486217i
$516$	10.4974	−	8.80833i	0.462121	−	0.387765i
$517$	−9.44640	+	3.43821i	−0.415452	+	0.151212i
$518$	−2.78756	−	1.01459i	−0.122479	−	0.0445785i
$519$	−12.0188	−	10.0849i	−0.527565	−	0.442679i
$520$	1.46388	−	2.53551i	0.0641953	−	0.111189i
$521$	0.108833	+	0.188505i	0.00476808	+	0.00825855i	0.868400	−	0.495865i	$-0.165149\pi$
$521$	0.108833	+	0.188505i	0.00476808	+	0.00825855i	−0.863632	+	0.504124i	$0.831816\pi$
$522$	−5.88548	+	33.3782i	−0.257601	+	1.46093i
$523$	7.49786	−	42.5225i	0.327859	−	1.85938i	−0.160915	−	0.986968i	$-0.551445\pi$
$523$	7.49786	−	42.5225i	0.327859	−	1.85938i	0.488774	−	0.872411i	$-0.337444\pi$
$524$	−0.572646	−	0.991851i	−0.0250161	−	0.0433292i
$525$	−4.14263	+	7.17525i	−0.180799	+	0.313154i
$526$	−20.9791	−	17.6036i	−0.914734	−	0.767553i
$527$	−18.8015	−	6.84317i	−0.819005	−	0.298093i
$528$	2.50532	−	0.911860i	0.109030	−	0.0396836i
$529$	5.13941	−	4.31247i	0.223452	−	0.187499i
$530$	−3.95572	−	22.4340i	−0.171825	−	0.974470i
$531$	−26.2544			−1.13935
$532$	0.728788	+	1.27937i	0.0315970	+	0.0554678i
$533$	−7.66337			−0.331937
$534$	4.92870	+	27.9521i	0.213286	+	1.20960i
$535$	−4.72239	+	3.96256i	−0.204167	+	0.171316i
$536$	−3.18578	+	1.15953i	−0.137605	+	0.0500840i
$537$	−17.0705	−	6.21314i	−0.736645	−	0.268117i
$538$	20.6777	+	17.3507i	0.891480	+	0.748040i
$539$	3.44295	−	5.96336i	0.148298	−	0.256860i
$540$	5.56629	+	9.64109i	0.239535	+	0.414886i
$541$	2.92289	−	16.5765i	0.125665	−	0.712680i	−0.855246	−	0.518222i	$-0.826594\pi$
$541$	2.92289	−	16.5765i	0.125665	−	0.712680i	0.980911	−	0.194458i	$-0.0622948\pi$
$542$	2.95423	−	16.7543i	0.126895	−	0.719657i
$543$	16.8029	+	29.1035i	0.721083	+	1.24895i
$544$	3.75915	−	6.51103i	0.161172	−	0.279158i
$545$	1.44859	+	1.21551i	0.0620509	+	0.0520669i
$546$	0.657505	+	0.239312i	0.0281386	+	0.0102416i
$547$	0.687089	−	0.250080i	0.0293778	−	0.0106926i	−0.327289	−	0.944924i	$-0.606135\pi$
$547$	0.687089	−	0.250080i	0.0293778	−	0.0106926i	0.356667	+	0.934231i	$0.383913\pi$
$548$	−12.2764	+	10.3011i	−0.524421	+	0.440042i
$549$	2.51263	+	14.2499i	0.107237	+	0.608169i
$550$	−9.19993			−0.392286
$551$	−17.8003	−	31.2481i	−0.758320	−	1.33121i
$552$	−14.5318			−0.618516
$553$	−0.348538	−	1.97666i	−0.0148213	−	0.0840560i
$554$	6.62709	−	5.56079i	0.281558	−	0.236255i
$555$	82.9086	−	30.1762i	3.51927	−	1.28091i
$556$	−14.8711	−	5.41263i	−0.630674	−	0.229547i
$557$	−4.76793	−	4.00077i	−0.202024	−	0.169518i	0.536163	−	0.844114i	$-0.319873\pi$
$557$	−4.76793	−	4.00077i	−0.202024	−	0.169518i	−0.738187	+	0.674596i	$0.764318\pi$
$558$	5.46634	−	9.46798i	0.231409	−	0.400812i
$559$	1.99669	+	3.45837i	0.0844511	+	0.146274i
$560$	−0.221034	+	1.25354i	−0.00934038	+	0.0529719i
$561$	−3.48070	+	19.7400i	−0.146955	+	0.833424i
$562$	−5.19794	−	9.00310i	−0.219262	−	0.379773i
$563$	−21.8966	+	37.9260i	−0.922831	+	1.59839i	−0.127818	+	0.991798i	$0.540797\pi$
$563$	−21.8966	+	37.9260i	−0.922831	+	1.59839i	−0.795013	+	0.606593i	$0.792536\pi$
$564$	−20.5311	−	17.2276i	−0.864513	−	0.725413i
$565$	−27.8290	−	10.1289i	−1.17077	−	0.426127i
$566$	14.5472	−	5.29475i	0.611465	−	0.222555i
$567$	1.15093	−	0.965747i	0.0483346	−	0.0405576i
$568$	−0.552592	−	3.13391i	−0.0231863	−	0.131496i
$569$	0.926278			0.0388316			0.0194158	−	0.999811i	$-0.493819\pi$
$569$	0.926278			0.0388316			0.0194158	+	0.999811i	$0.493819\pi$
$570$	−41.0636	−	15.2161i	−1.71997	−	0.637334i
$571$	11.6469			0.487409			0.243704	−	0.969850i	$-0.421637\pi$
$571$	11.6469			0.487409			0.243704	+	0.969850i	$0.421637\pi$
$572$	0.134915	+	0.765144i	0.00564110	+	0.0319923i
$573$	10.1348	−	8.50414i	0.423389	−	0.355265i
$574$	3.13083	−	1.13953i	0.130678	−	0.0475630i
$575$	47.1210	+	17.1506i	1.96508	+	0.715231i
$576$	3.14698	+	2.64063i	0.131124	+	0.110026i
$577$	12.4368	−	21.5412i	0.517752	−	0.896773i	−0.482035	−	0.876152i	$-0.660102\pi$
$577$	12.4368	−	21.5412i	0.517752	−	0.896773i	0.999787	−	0.0206214i	$-0.00656446\pi$
$578$	19.7624	+	34.2294i	0.822006	+	1.42376i
$579$	8.21702	−	46.6010i	0.341488	−	1.93667i
$580$	5.39865	−	30.6173i	0.224167	−	1.27131i
$581$	−0.467609	−	0.809922i	−0.0193997	−	0.0336012i
$582$	0.843960	−	1.46178i	0.0349833	−	0.0605928i
$583$	4.63091	+	3.88579i	0.191793	+	0.160933i
$584$	10.4220	+	3.79330i	0.431265	+	0.156968i
$585$	−11.3021	+	4.11364i	−0.467286	+	0.170078i
$586$	4.87562	−	4.09113i	0.201410	−	0.169003i
$587$	6.66321	+	37.7890i	0.275020	+	1.55972i	0.738898	+	0.673818i	$0.235347\pi$
$587$	6.66321	+	37.7890i	0.275020	+	1.55972i	−0.463877	+	0.885899i	$0.653542\pi$
$588$	18.3585			0.757092
$589$	1.94808	+	11.4354i	0.0802691	+	0.471187i
$590$	24.0827			0.991470
$591$	8.68256	+	49.2412i	0.357153	+	2.02551i
$592$	6.72741	−	5.64497i	0.276495	−	0.232007i
$593$	−22.1589	+	8.06517i	−0.909956	+	0.331197i	−0.754235	−	0.656604i	$-0.771992\pi$
$593$	−22.1589	+	8.06517i	−0.909956	+	0.331197i	−0.155721	+	0.987801i	$0.549770\pi$
$594$	−2.77612	−	1.01043i	−0.113906	−	0.0414582i
$595$	−7.33097	−	6.15142i	−0.300541	−	0.252183i
$596$	5.76789	−	9.99028i	0.236262	−	0.409218i
$597$	25.2252	+	43.6913i	1.03240	+	1.78817i
$598$	0.735370	−	4.17049i	0.0300715	−	0.170544i
$599$	−0.496761	+	2.81727i	−0.0202971	+	0.115111i	−0.993273	−	0.115796i	$-0.963058\pi$
$599$	−0.496761	+	2.81727i	−0.0202971	+	0.115111i	0.972976	+	0.230907i	$0.0741692\pi$
$600$	−12.2640	−	21.2418i	−0.500675	−	0.867194i
$601$	12.5480	−	21.7338i	0.511843	−	0.886539i	−0.488062	−	0.872809i	$-0.662296\pi$
$601$	12.5480	−	21.7338i	0.511843	−	0.886539i	0.999906	−	0.0137301i	$-0.00437055\pi$
$602$	−1.32999	−	1.11600i	−0.0542064	−	0.0454846i
$603$	13.0875	+	4.76345i	0.532963	+	0.193983i
$604$	−0.423340	+	0.154083i	−0.0172254	+	0.00626955i
$605$	2.88667	−	2.42220i	0.117360	−	0.0984766i
$606$	2.37486	+	13.4685i	0.0964720	+	0.547120i
$607$	−4.97244			−0.201825			−0.100912	−	0.994895i	$-0.532176\pi$
$607$	−4.97244			−0.201825			−0.100912	+	0.994895i	$0.532176\pi$
$608$	−4.35883	−	0.0252716i	−0.176774	−	0.00102490i
$609$	7.43008			0.301082
$610$	−2.30479	−	13.0711i	−0.0933184	−	0.529235i
$611$	5.98310	−	5.02042i	0.242050	−	0.203104i
$612$	−29.0232	+	10.5636i	−1.17319	+	0.427007i
$613$	−5.99250	−	2.18109i	−0.242035	−	0.0880935i	0.218155	−	0.975914i	$-0.429996\pi$
$613$	−5.99250	−	2.18109i	−0.242035	−	0.0880935i	−0.460189	+	0.887821i	$0.652219\pi$
$614$	14.2494	+	11.9567i	0.575059	+	0.482532i
$615$	−49.5470	+	85.8180i	−1.99793	+	3.46052i
$616$	−0.168894	−	0.292534i	−0.00680495	−	0.0117865i
$617$	−6.27443	+	35.5841i	−0.252599	+	1.43256i	0.549562	+	0.835453i	$0.314795\pi$
$617$	−6.27443	+	35.5841i	−0.252599	+	1.43256i	−0.802161	+	0.597108i	$0.796316\pi$
$618$	−1.37653	+	7.80670i	−0.0553722	+	0.314031i
$619$	4.74253	+	8.21430i	0.190618	+	0.330161i	0.945455	−	0.325752i	$-0.105617\pi$
$619$	4.74253	+	8.21430i	0.190618	+	0.330161i	−0.754837	+	0.655912i	$0.772284\pi$
$620$	−5.01418	+	8.68481i	−0.201374	+	0.348790i
$621$	12.3353	+	10.3506i	0.494999	+	0.415354i
$622$	−27.2346	−	9.91260i	−1.09201	−	0.397459i
$623$	3.37922	−	1.22994i	0.135386	−	0.0492764i
$624$	−1.58680	+	1.33148i	−0.0635228	+	0.0533020i
$625$	2.36840	+	13.4319i	0.0947361	+	0.537275i
$626$	29.1903			1.16668
$627$	10.9433	−	3.91133i	0.437032	−	0.156203i
$628$	−23.2625			−0.928275
$629$	11.4652	+	65.0226i	0.457149	+	2.59262i
$630$	4.00574	−	3.36121i	0.159592	−	0.133914i
$631$	−17.0005	+	6.18769i	−0.676780	+	0.246328i	−0.657465	−	0.753485i	$-0.728371\pi$
$631$	−17.0005	+	6.18769i	−0.676780	+	0.246328i	−0.0193159	+	0.999813i	$0.506149\pi$
$632$	5.58368	+	2.03229i	0.222107	+	0.0808402i
$633$	27.2893	+	22.8985i	1.08465	+	0.910132i
$634$	10.7145	−	18.5581i	0.425527	−	0.737035i
$635$	−29.8902	−	51.7714i	−1.18616	−	2.05448i
$636$	−2.79872	+	15.8723i	−0.110976	+	0.629378i
$637$	−0.929014	+	5.26870i	−0.0368089	+	0.208754i
$638$	4.12517	+	7.14500i	0.163317	+	0.282873i
$639$	−6.53649	+	11.3215i	−0.258580	+	0.447873i
$640$	−2.88667	−	2.42220i	−0.114106	−	0.0957460i
$641$	−16.3462	−	5.94953i	−0.645636	−	0.234992i	−0.00161353	−	0.999999i	$-0.500514\pi$
$641$	−16.3462	−	5.94953i	−0.645636	−	0.234992i	−0.644023	+	0.765006i	$0.722736\pi$
$642$	4.09852	−	1.49174i	0.161756	−	0.0588743i
$643$	−24.2481	+	20.3466i	−0.956253	+	0.802392i	−0.980339	−	0.197318i	$-0.936777\pi$
$643$	−24.2481	+	20.3466i	−0.956253	+	0.802392i	0.0240865	+	0.999710i	$0.492332\pi$
$644$	0.319712	+	1.81318i	0.0125984	+	0.0714493i
$645$	51.6380			2.03324
$646$	16.5500	−	28.2855i	0.651151	−	1.11288i
$647$	14.3583			0.564483			0.282241	−	0.959343i	$-0.408922\pi$
$647$	14.3583			0.564483			0.282241	+	0.959343i	$0.408922\pi$
$648$	0.772362	+	4.38028i	0.0303412	+	0.172074i
$649$	−4.89572	+	4.10800i	−0.192174	+	0.161253i
$650$	6.71679	−	2.44471i	0.263454	−	0.0958895i
$651$	−2.25213	−	0.819709i	−0.0882681	−	0.0321269i
$652$	16.3757	+	13.7408i	0.641321	+	0.538132i
$653$	16.9083	−	29.2860i	0.661672	−	1.14605i	−0.318504	−	0.947921i	$-0.603181\pi$
$653$	16.9083	−	29.2860i	0.661672	−	1.14605i	0.980176	−	0.198128i	$-0.0634861\pi$
$654$	−0.668954	−	1.15866i	−0.0261582	−	0.0453073i
$655$	0.749427	−	4.25021i	0.0292825	−	0.166070i
$656$	−1.71277	+	9.71359i	−0.0668723	+	0.379252i
$657$	−22.7811	−	39.4581i	−0.888777	−	1.53941i
$658$	−1.69784	+	2.94074i	−0.0661886	+	0.114642i
$659$	3.35022	+	2.81117i	0.130506	+	0.109508i	0.705704	−	0.708506i	$-0.250631\pi$
$659$	3.35022	+	2.81117i	0.130506	+	0.109508i	−0.575198	+	0.818014i	$0.695075\pi$
$660$	9.44073	+	3.43614i	0.367480	+	0.133752i
$661$	16.9506	−	6.16950i	0.659301	−	0.239966i	0.00936629	−	0.999956i	$-0.497019\pi$
$661$	16.9506	−	6.16950i	0.659301	−	0.239966i	0.649934	+	0.759990i	$0.274796\pi$
$662$	−9.00456	+	7.55573i	−0.349972	+	0.293662i
$663$	−2.70432	−	15.3369i	−0.105027	−	0.595637i
$664$	2.76865			0.107444
$665$	−0.995127	+	5.45840i	−0.0385894	+	0.211668i
$666$	−36.0773			−1.39797
$667$	−7.80883	−	44.2861i	−0.302359	−	1.71476i
$668$	−0.624787	+	0.524258i	−0.0241737	+	0.0202842i
$669$	−7.73431	+	2.81506i	−0.299026	+	0.108836i
$670$	−12.0049	−	4.36943i	−0.463790	−	0.168806i
$671$	2.69819	+	2.26405i	0.104163	+	0.0874028i
$672$	0.450289	−	0.779924i	0.0173703	−	0.0300862i
$673$	12.3347	+	21.3644i	0.475469	+	0.823537i	0.999605	−	0.0280978i	$-0.00894498\pi$
$673$	12.3347	+	21.3644i	0.475469	+	0.823537i	−0.524136	+	0.851635i	$0.675612\pi$
$674$	−2.51912	+	14.2866i	−0.0970329	+	0.550301i
$675$	−4.71962	+	26.7663i	−0.181658	+	1.03024i
$676$	6.19818	+	10.7356i	0.238391	+	0.412906i
$677$	−5.39766	+	9.34902i	−0.207449	+	0.359312i	−0.950910	−	0.309467i	$-0.899849\pi$
$677$	−5.39766	+	9.34902i	−0.207449	+	0.359312i	0.743461	+	0.668779i	$0.233183\pi$
$678$	16.0509	+	13.4683i	0.616431	+	0.517247i
$679$	−0.200959	−	0.0731429i	−0.00771208	−	0.00280697i
$680$	26.6225	−	9.68978i	1.02092	−	0.371586i
$681$	4.96168	−	4.16335i	0.190132	−	0.159540i
$682$	−0.462122	−	2.62082i	−0.0176956	−	0.100357i
$683$	2.24955			0.0860768			0.0430384	−	0.999073i	$-0.486296\pi$
$683$	2.24955			0.0860768			0.0430384	+	0.999073i	$0.486296\pi$
$684$	13.6504	+	11.5896i	0.521936	+	0.443139i
$685$	−60.3893			−2.30736
$686$	−0.814497	−	4.61924i	−0.0310976	−	0.176363i
$687$	31.4031	−	26.3503i	1.19810	−	1.00533i
$688$	4.82987	−	1.75793i	0.184137	−	0.0670204i
$689$	−4.41356	−	1.60641i	−0.168143	−	0.0611992i
$690$	−41.9486	−	35.1991i	−1.59696	−	1.34001i
$691$	−12.1734	+	21.0850i	−0.463100	+	0.802112i	−0.999114	−	0.0420970i	$-0.986596\pi$
$691$	−12.1734	+	21.0850i	−0.463100	+	0.802112i	0.536014	+	0.844209i	$0.319929\pi$
$692$	−2.94238	−	5.09635i	−0.111853	−	0.193734i
$693$	−0.240966	+	1.36659i	−0.00915354	+	0.0519123i
$694$	3.41764	−	19.3824i	0.129732	−	0.735745i
$695$	−29.8174	−	51.6453i	−1.13104	−	1.95902i
$696$	−10.9981	+	19.0493i	−0.416883	+	0.722062i
$697$	−56.8069	−	47.6667i	−2.15172	−	1.80550i
$698$	−7.98466	−	2.90618i	−0.302224	−	0.110000i
$699$	26.7087	−	9.72118i	1.01022	−	0.367689i
$700$	−2.38059	+	1.99755i	−0.0899777	+	0.0755002i
$701$	3.66649	+	20.7937i	0.138482	+	0.785368i	0.972372	+	0.233438i	$0.0749975\pi$
$701$	3.66649	+	20.7937i	0.138482	+	0.785368i	−0.833890	+	0.551930i	$0.813891\pi$
$702$	2.29532			0.0866314
$703$	29.4663	−	24.4354i	1.11134	−	0.921599i
$704$	1.00000			0.0376889
$705$	−17.5376	−	99.4608i	−0.660505	−	3.74591i
$706$	−21.7121	+	18.2186i	−0.817146	+	0.685667i
$707$	1.62825	−	0.592636i	0.0612368	−	0.0222884i
$708$	−16.0112	−	5.82761i	−0.601739	−	0.219015i
$709$	19.7349	+	16.5596i	0.741160	+	0.621907i	0.933149	−	0.359490i	$-0.117049\pi$
$709$	19.7349	+	16.5596i	0.741160	+	0.621907i	−0.191989	+	0.981397i	$0.561494\pi$
$710$	5.99581	−	10.3850i	0.225019	−	0.389744i
$711$	−12.2052	−	21.1400i	−0.457730	−	0.792812i
$712$	−1.84866	+	10.4842i	−0.0692813	+	0.392914i
$713$	−2.51884	+	14.2851i	−0.0943314	+	0.534980i
$714$	3.38541	+	5.86370i	0.126696	+	0.219443i
$715$	−1.46388	+	2.53551i	−0.0547459	+	0.0948227i
$716$	−5.21960	−	4.37976i	−0.195066	−	0.163679i
$717$	13.5604	+	4.93558i	0.506422	+	0.184323i
$718$	16.6539	−	6.06153i	0.621519	−	0.226214i
$719$	−10.5678	+	8.86745i	−0.394113	+	0.330700i	−0.818213	−	0.574915i	$-0.805035\pi$
$719$	−10.5678	+	8.86745i	−0.394113	+	0.330700i	0.424100	+	0.905615i	$0.360591\pi$
$720$	2.68815	+	15.2453i	0.100181	+	0.568157i
$721$	1.00435			0.0374039
$722$	−18.9987	−	0.220309i	−0.707059	−	0.00819906i
$723$	8.52120			0.316907
$724$	2.18881	+	12.4134i	0.0813466	+	0.461339i
$725$	58.1447	−	48.7892i	2.15944	−	1.81199i
$726$	−2.50532	+	0.911860i	−0.0929810	+	0.0338423i
$727$	−34.6228	−	12.6017i	−1.28409	−	0.467370i	−0.392305	−	0.919835i	$-0.628322\pi$
$727$	−34.6228	−	12.6017i	−1.28409	−	0.467370i	−0.891782	+	0.452465i	$0.850545\pi$
$728$	0.201044	+	0.168696i	0.00745118	+	0.00625228i
$729$	20.9507	−	36.2877i	0.775953	−	1.34399i
$730$	20.8967	+	36.1942i	0.773422	+	1.33961i
$731$	−6.71026	+	38.0558i	−0.248188	+	1.40754i
$732$	−1.63067	+	9.24798i	−0.0602712	+	0.341815i
$733$	−24.2023	−	41.9196i	−0.893932	−	1.54834i	−0.835121	−	0.550066i	$-0.814602\pi$
$733$	−24.2023	−	41.9196i	−0.893932	−	1.54834i	−0.0588111	−	0.998269i	$-0.518731\pi$
$734$	−2.68337	+	4.64773i	−0.0990450	+	0.171551i
$735$	52.9949	+	44.4680i	1.95475	+	1.64023i
$736$	−5.12189	−	1.86421i	−0.188795	−	0.0687159i
$737$	3.18578	−	1.15953i	0.117350	−	0.0427118i
$738$	31.0400	−	26.0457i	1.14260	−	0.958755i
$739$	−3.13942	−	17.8045i	−0.115485	−	0.654950i	−0.986509	−	0.163709i	$-0.947654\pi$
$739$	−3.13942	−	17.8045i	−0.115485	−	0.654950i	0.871023	−	0.491242i	$-0.163457\pi$
$740$	33.0931			1.21653
$741$	−6.95023	+	5.76360i	−0.255323	+	0.211731i
$742$	2.04201			0.0749644
$743$	0.618767	+	3.50920i	0.0227004	+	0.128740i	0.994052	−	0.108907i	$-0.0347350\pi$
$743$	0.618767	+	3.50920i	0.0227004	+	0.128740i	−0.971352	+	0.237647i	$0.923624\pi$
$744$	5.43522	−	4.56069i	0.199265	−	0.167203i
$745$	40.8485	−	14.8676i	1.49657	−	0.544708i
$746$	0.712759	+	0.259423i	0.0260960	+	0.00949816i
$747$	−8.71288	−	7.31097i	−0.318788	−	0.267495i
$748$	−3.75915	+	6.51103i	−0.137448	+	0.238067i
$749$	−0.276299	−	0.478565i	−0.0100958	−	0.0174864i
$750$	7.32710	−	41.5541i	0.267548	−	1.51734i
$751$	−0.907624	+	5.14739i	−0.0331197	+	0.187831i	−0.996879	−	0.0789413i	$-0.974846\pi$
$751$	−0.907624	+	5.14739i	−0.0331197	+	0.187831i	0.963760	+	0.266772i	$0.0859571\pi$
$752$	−5.02633	−	8.70585i	−0.183291	−	0.317470i
$753$	−13.8077	+	23.9157i	−0.503181	+	0.871535i
$754$	−4.91040	−	4.12032i	−0.178826	−	0.150053i
$755$	−1.59526	−	0.580628i	−0.0580575	−	0.0211312i
$756$	−0.937742	+	0.341310i	−0.0341054	+	0.0124133i
$757$	24.7258	−	20.7474i	0.898675	−	0.754078i	−0.0712556	−	0.997458i	$-0.522701\pi$
$757$	24.7258	−	20.7474i	0.898675	−	0.754078i	0.969931	+	0.243380i	$0.0782561\pi$
$758$	2.24186	+	12.7142i	0.0814279	+	0.461801i
$759$	14.5318			0.527472
$760$	−12.5213	−	10.6309i	−0.454194	−	0.385624i
$761$	14.5421			0.527150			0.263575	−	0.964639i	$-0.415098\pi$
$761$	14.5421			0.527150			0.263575	+	0.964639i	$0.415098\pi$
$762$	7.34451	+	41.6528i	0.266063	+	1.50892i
$763$	−0.129852	+	0.108959i	−0.00470096	+	0.00394457i
$764$	4.66307	−	1.69722i	0.168704	−	0.0614032i
$765$	−109.368	−	39.8065i	−3.95419	−	1.43921i
$766$	−11.7383	−	9.84956i	−0.424120	−	0.355879i
$767$	2.48270	−	4.30016i	0.0896451	−	0.155270i
$768$	1.33305	+	2.30891i	0.0481023	+	0.0833156i
$769$	1.69129	−	9.59176i	0.0609893	−	0.345888i	−0.939009	−	0.343893i	$-0.888254\pi$
$769$	1.69129	−	9.59176i	0.0609893	−	0.345888i	0.999998	−	0.00199425i	$-0.000634791\pi$
$770$	0.221034	−	1.25354i	0.00796550	−	0.0451746i
$771$	−32.2462	−	55.8521i	−1.16132	−	2.01147i
$772$	8.87437	−	15.3709i	0.319396	−	0.553209i
$773$	3.07570	+	2.58082i	0.110625	+	0.0928255i	0.696422	−	0.717632i	$-0.254774\pi$
$773$	3.07570	+	2.58082i	0.110625	+	0.0928255i	−0.585797	+	0.810458i	$0.699219\pi$
$774$	−19.8416	−	7.22174i	−0.713190	−	0.259580i
$775$	−23.0068	+	8.37381i	−0.826430	+	0.300796i
$776$	0.484986	−	0.406952i	0.0174100	−	0.0146087i
$777$	1.37336	+	7.78874i	0.0492692	+	0.279419i
$778$	24.5235			0.879210
$779$	−7.71113	+	42.2965i	−0.276280	+	1.51543i
$780$	−7.80569			−0.279488
$781$	0.552592	+	3.13391i	0.0197733	+	0.112140i
$782$	31.3919	−	26.3409i	1.12257	−	0.941949i
$783$	22.9039	−	8.33635i	0.818520	−	0.297917i
$784$	6.47063	+	2.35512i	0.231094	+	0.0841113i
$785$	−67.1511	−	56.3465i	−2.39673	−	2.01109i
$786$	−1.52673	+	2.64438i	−0.0544567	+	0.0943217i
$787$	4.59969	+	7.96691i	0.163961	+	0.283989i	0.936286	−	0.351239i	$-0.114239\pi$
$787$	4.59969	+	7.96691i	0.163961	+	0.283989i	−0.772325	+	0.635228i	$0.780906\pi$
$788$	−3.25665	+	18.4694i	−0.116013	+	0.657944i
$789$	−12.6789	+	71.9054i	−0.451380	+	2.55990i
$790$	11.1956	+	19.3914i	0.398322	+	0.689913i
$791$	1.32734	−	2.29903i	0.0471949	−	0.0817440i
$792$	−3.14698	−	2.64063i	−0.111823	−	0.0938307i
$793$	−2.57156	−	0.935970i	−0.0913187	−	0.0332373i
$794$	3.19032	−	1.16118i	0.113220	−	0.0412088i
$795$	−46.5249	+	39.0390i	−1.65007	+	1.38457i
$796$	3.28593	+	18.6354i	0.116467	+	0.660516i
$797$	31.9828			1.13289			0.566445	−	0.824100i	$-0.308318\pi$
$797$	31.9828			1.13289			0.566445	+	0.824100i	$0.308318\pi$
$798$	1.98244	−	3.38817i	0.0701777	−	0.119940i
$799$	75.5788			2.67379
$800$	−1.59755	−	9.06016i	−0.0564820	−	0.320325i
$801$	33.5027	−	28.1121i	1.18376	−	0.993293i
$802$	−1.46726	+	0.534041i	−0.0518109	+	0.0188576i
$803$	−10.4220	−	3.79330i	−0.367784	−	0.133863i
$804$	6.92405	+	5.80997i	0.244192	+	0.204902i
$805$	−3.46899	+	6.00846i	−0.122266	+	0.211770i
$806$	1.03383	+	1.79064i	0.0364150	+	0.0630727i
$807$	12.4967	−	70.8723i	0.439905	−	2.49482i
$808$	−0.890761	+	5.05176i	−0.0313369	+	0.177720i
$809$	−12.4970	−	21.6454i	−0.439370	−	0.761012i	0.558271	−	0.829659i	$-0.311465\pi$
$809$	−12.4970	−	21.6454i	−0.439370	−	0.761012i	−0.997641	+	0.0686471i	$0.978132\pi$
$810$	−8.38038	+	14.5152i	−0.294457	+	0.510014i
$811$	−30.5582	−	25.6414i	−1.07304	−	0.900390i	−0.0777188	−	0.996975i	$-0.524764\pi$
$811$	−30.5582	−	25.6414i	−1.07304	−	0.900390i	−0.995325	+	0.0965848i	$0.969208\pi$
$812$	2.61880	+	0.953166i	0.0919020	+	0.0334496i
$813$	−42.6222	+	15.5132i	−1.49483	+	0.544072i
$814$	−6.72741	+	5.64497i	−0.235796	+	0.197856i
$815$	13.9881	+	79.3305i	0.489982	+	2.77883i
$816$	−20.0445			−0.701699
$817$	21.0970	−	7.54045i	0.738090	−	0.263807i
$818$	−31.9381			−1.11669
$819$	−0.187218	−	1.06176i	−0.00654192	−	0.0371011i
$820$	−28.4725	+	23.8912i	−0.994302	+	0.834318i
$821$	−1.27227	+	0.463068i	−0.0444025	+	0.0161612i	−0.364126	−	0.931350i	$-0.618632\pi$
$821$	−1.27227	+	0.463068i	−0.0444025	+	0.0161612i	0.319723	+	0.947511i	$0.396410\pi$
$822$	40.1494	+	14.6132i	1.40037	+	0.509693i
$823$	0.169830	+	0.142504i	0.00591991	+	0.00496739i	0.645743	−	0.763555i	$-0.276548\pi$
$823$	0.169830	+	0.142504i	0.00591991	+	0.00496739i	−0.639823	+	0.768522i	$0.720992\pi$
$824$	−1.48665	+	2.57496i	−0.0517900	+	0.0897029i
$825$	12.2640	+	21.2418i	0.426977	+	0.739545i
$826$	−0.374868	+	2.12598i	−0.0130433	+	0.0739723i
$827$	9.37125	−	53.1470i	0.325870	−	1.84810i	−0.177617	−	0.984100i	$-0.556839\pi$
$827$	9.37125	−	53.1470i	0.325870	−	1.84810i	0.503488	−	0.864002i	$-0.332050\pi$
$828$	11.1958	+	19.3917i	0.389080	+	0.673907i
$829$	13.2566	−	22.9611i	0.460420	−	0.797471i	−0.538562	−	0.842586i	$-0.681032\pi$
$829$	13.2566	−	22.9611i	0.460420	−	0.797471i	0.998982	+	0.0451150i	$0.0143654\pi$
$830$	7.99217	+	6.70623i	0.277412	+	0.232776i
$831$	−21.6736	−	7.88855i	−0.751850	−	0.273651i
$832$	−0.730092	+	0.265732i	−0.0253114	+	0.00921259i
$833$	−39.6583	+	33.2772i	−1.37408	+	1.15299i
$834$	7.32662	+	41.5513i	0.253700	+	1.43880i
$835$	−3.07341			−0.106360
$836$	4.35883	+	0.0252716i	0.150753	+	0.000874038i
$837$	−7.86211			−0.271754
$838$	1.92561	+	10.9207i	0.0665192	+	0.377249i
$839$	−27.0716	+	22.7158i	−0.934617	+	0.784237i	−0.976640	−	0.214880i	$-0.931064\pi$
$839$	−27.0716	+	22.7158i	−0.934617	+	0.784237i	0.0420236	+	0.999117i	$0.486620\pi$
$840$	3.18897	−	1.16069i	0.110030	−	0.0400476i
$841$	−36.7120	−	13.3621i	−1.26593	−	0.460761i
$842$	13.5677	+	11.3847i	0.467574	+	0.392341i
$843$	−13.8582	+	24.0032i	−0.477303	+	0.826713i
$844$	6.68086	+	11.5716i	0.229965	+	0.398310i
$845$	−8.11161	+	46.0033i	−0.279048	+	1.58256i
$846$	−7.17119	+	40.6698i	−0.246551	+	1.39826i
$847$	0.168894	+	0.292534i	0.00580328	+	0.0100516i
$848$	−3.02261	+	5.23531i	−0.103797	+	0.179781i
$849$	−31.6173	−	26.5300i	−1.08510	−	0.910508i
$850$	64.9965	+	23.6568i	2.22936	+	0.811421i
$851$	44.9805	−	16.3715i	1.54191	−	0.561209i
$852$	−6.49928	+	5.45354i	−0.222662	+	0.186835i
$853$	3.58370	+	20.3242i	0.122704	+	0.695886i	0.982645	+	0.185494i	$0.0593886\pi$
$853$	3.58370	+	20.3242i	0.122704	+	0.695886i	−0.859942	+	0.510392i	$0.829500\pi$
$854$	1.18977			0.0407132
$855$	11.3319	+	66.5194i	0.387543	+	2.27491i
$856$	1.63593			0.0559149
$857$	6.37209	+	36.1379i	0.217666	+	1.23445i	0.876219	+	0.481913i	$0.160058\pi$
$857$	6.37209	+	36.1379i	0.217666	+	1.23445i	−0.658553	+	0.752534i	$0.728831\pi$
$858$	1.58680	−	1.33148i	0.0541724	−	0.0454561i
$859$	1.25120	−	0.455401i	0.0426905	−	0.0155381i	−0.320587	−	0.947219i	$-0.603880\pi$
$859$	1.25120	−	0.455401i	0.0426905	−	0.0155381i	0.363277	+	0.931681i	$0.381658\pi$
$860$	18.2003	+	6.62437i	0.620625	+	0.225889i
$861$	−6.80462	−	5.70975i	−0.231901	−	0.194588i
$862$	−14.7123	+	25.4825i	−0.501103	+	0.867936i
$863$	22.6282	+	39.1932i	0.770273	+	1.33415i	0.937413	+	0.348219i	$0.113214\pi$
$863$	22.6282	+	39.1932i	0.770273	+	1.33415i	−0.167140	+	0.985933i	$0.553453\pi$
$864$	0.513006	−	2.90940i	0.0174528	−	0.0989799i
$865$	3.85072	−	21.8385i	0.130928	−	0.742532i
$866$	16.1592	+	27.9885i	0.549111	+	0.951088i
$867$	52.6885	−	91.2591i	1.78939	−	3.09932i
$868$	−0.688630	−	0.577829i	−0.0233736	−	0.0196128i
$869$	−5.58368	−	2.03229i	−0.189413	−	0.0689408i
$870$	−77.8892	+	28.3494i	−2.64069	+	0.961133i
$871$	−2.01779	+	1.69312i	−0.0683701	+	0.0573693i
$872$	−0.0871404	−	0.494198i	−0.00295095	−	0.0167357i
$873$	−2.60085			−0.0880255
$874$	−22.2783	−	8.25522i	−0.753575	−	0.279237i
$875$	−5.34602			−0.180728
$876$	−5.13466	−	29.1201i	−0.173484	−	0.983877i
$877$	19.4996	−	16.3621i	0.658455	−	0.552509i	−0.251169	−	0.967943i	$-0.580815\pi$
$877$	19.4996	−	16.3621i	0.658455	−	0.552509i	0.909623	+	0.415434i	$0.136370\pi$
$878$	−23.0375	+	8.38496i	−0.777478	+	0.282979i
$879$	−15.9455	−	5.80369i	−0.537829	−	0.195754i
$880$	2.88667	+	2.42220i	0.0973096	+	0.0816525i
$881$	−0.123985	+	0.214748i	−0.00417716	+	0.00723506i	−0.868106	−	0.496378i	$-0.834663\pi$
$881$	−0.123985	+	0.214748i	−0.00417716	+	0.00723506i	0.863929	+	0.503613i	$0.167996\pi$
$882$	−14.1440	−	24.4980i	−0.476252	−	0.824892i
$883$	−0.952988	+	5.40467i	−0.0320706	+	0.181881i	−0.996635	−	0.0819655i	$-0.973880\pi$
$883$	−0.952988	+	5.40467i	−0.0320706	+	0.181881i	0.964565	+	0.263847i	$0.0849914\pi$
$884$	1.01433	−	5.75257i	0.0341157	−	0.193480i
$885$	−32.1035	−	55.6049i	−1.07915	−	1.86914i
$886$	12.9125	−	22.3652i	0.433805	−	0.751373i
$887$	42.8554	+	35.9600i	1.43894	+	1.20742i	0.940179	+	0.340680i	$0.110657\pi$
$887$	42.8554	+	35.9600i	1.43894	+	1.20742i	0.498765	+	0.866737i	$0.333787\pi$
$888$	−22.0017	−	8.00796i	−0.738329	−	0.268730i
$889$	5.03555	−	1.83279i	0.168887	−	0.0614698i
$890$	−30.7314	+	25.7867i	−1.03012	+	0.864373i
$891$	−0.772362	−	4.38028i	−0.0258751	−	0.146745i
$892$	−3.08716			−0.103366
$893$	−21.6889	−	38.0743i	−0.725790	−	1.27411i
$894$	−30.7556			−1.02862
$895$	−4.45858	−	25.2859i	−0.149034	−	0.845213i
$896$	0.258761	−	0.217126i	0.00864460	−	0.00725368i
$897$	−10.6096	+	3.86157i	−0.354243	+	0.128934i
$898$	12.0646	+	4.39116i	0.402602	+	0.146535i
$899$	16.8195	+	14.1132i	0.560961	+	0.470702i
$900$	−18.8971	+	32.7307i	−0.629903	+	1.09102i
$901$	−22.7249	−	39.3606i	−0.757075	−	1.31129i
$902$	1.71277	−	9.71359i	0.0570289	−	0.323427i
$903$	−0.803788	+	4.55851i	−0.0267484	+	0.151698i
$904$	3.92951	+	6.80611i	0.130694	+	0.226368i
$905$	−23.7493	+	41.1351i	−0.789455	+	1.36738i
$906$	0.920097	+	0.772053i	0.0305682	+	0.0256498i
$907$	−46.0045	−	16.7443i	−1.52756	−	0.555985i	−0.564534	−	0.825410i	$-0.690944\pi$
$907$	−46.0045	−	16.7443i	−1.52756	−	0.555985i	−0.963021	+	0.269425i	$0.913166\pi$
$908$	2.28289	−	0.830903i	0.0757603	−	0.0275745i
$909$	16.1430	−	13.5456i	0.535431	−	0.449280i
$910$	0.171732	+	0.973938i	0.00569284	+	0.0322857i
$911$	−3.47529			−0.115142			−0.0575708	−	0.998341i	$-0.518335\pi$
$911$	−3.47529			−0.115142			−0.0575708	+	0.998341i	$0.518335\pi$
$912$	5.75218	+	10.0978i	0.190474	+	0.334373i
$913$	−2.76865			−0.0916288
$914$	−6.10631	−	34.6306i	−0.201979	−	1.14548i
$915$	−27.1077	+	22.7461i	−0.896153	+	0.751961i
$916$	14.4486	−	5.25888i	0.477397	−	0.173758i
$917$	0.363536	+	0.132316i	0.0120050	+	0.00436946i
$918$	17.0148	+	14.2771i	0.561571	+	0.471214i
$919$	7.51610	−	13.0183i	0.247933	−	0.429433i	−0.715019	−	0.699105i	$-0.753582\pi$
$919$	7.51610	−	13.0183i	0.247933	−	0.429433i	0.962952	+	0.269672i	$0.0869153\pi$
$920$	−10.2697	−	17.7876i	−0.338582	−	0.586441i
$921$	8.61171	−	48.8395i	0.283766	−	1.60931i
$922$	2.79918	−	15.8750i	0.0921862	−	0.522814i
$923$	−1.23622	−	2.14120i	−0.0406907	−	0.0704784i
$924$	−0.450289	+	0.779924i	−0.0148134	+	0.0256576i
$925$	61.8917	+	51.9333i	2.03499	+	1.70756i
$926$	40.3482	+	14.6855i	1.32592	+	0.482597i
$927$	11.4780	−	4.17764i	0.376986	−	0.137212i
$928$	−6.32013	+	5.30322i	−0.207468	+	0.174087i
$929$	−7.01314	−	39.7735i	−0.230094	−	1.30493i	−0.852704	−	0.522394i	$-0.825039\pi$
$929$	−7.01314	−	39.7735i	−0.230094	−	1.30493i	0.622611	−	0.782532i	$-0.286072\pi$
$930$	26.7366			0.876728
$931$	28.1448	+	10.4291i	0.922409	+	0.341799i
$932$	10.6608			0.349207
$933$	13.4178	+	76.0964i	0.439280	+	2.49128i
$934$	−8.81600	+	7.39750i	−0.288468	+	0.242054i
$935$	−26.6225	+	9.68978i	−0.870648	+	0.316890i
$936$	2.99928	+	1.09165i	0.0980346	+	0.0356817i
$937$	5.49604	+	4.61173i	0.179548	+	0.150659i	0.728132	−	0.685437i	$-0.240389\pi$
$937$	5.49604	+	4.61173i	0.179548	+	0.150659i	−0.548584	+	0.836095i	$0.684833\pi$
$938$	0.572592	−	0.991758i	0.0186958	−	0.0323820i
$939$	−38.9122	−	67.3979i	−1.26985	−	2.19945i
$940$	6.57800	−	37.3057i	0.214551	−	1.21678i
$941$	2.03542	−	11.5434i	0.0663527	−	0.376305i	−0.933491	−	0.358602i	$-0.883254\pi$
$941$	2.03542	−	11.5434i	0.0663527	−	0.376305i	0.999843	−	0.0177030i	$-0.00563533\pi$
$942$	31.0101	+	53.7110i	1.01036	+	1.75000i
$943$	−26.8808	+	46.5589i	−0.875359	+	1.51617i
$944$	−4.89572	−	4.10800i	−0.159342	−	0.133704i
$945$	−3.53367	−	1.28615i	−0.114950	−	0.0418385i
$946$	−4.82987	+	1.75793i	−0.157033	+	0.0571552i
$947$	−17.9819	+	15.0886i	−0.584335	+	0.490315i	−0.886367	−	0.462983i	$-0.846779\pi$
$947$	−17.9819	+	15.0886i	−0.584335	+	0.490315i	0.302033	+	0.953298i	$0.402335\pi$
$948$	−2.75094	−	15.6014i	−0.0893464	−	0.506709i
$949$	8.61701			0.279720
$950$	−6.73448	−	39.5321i	−0.218495	−	1.28259i
$951$	−57.1319			−1.85263
$952$	0.440996	+	2.50101i	0.0142928	+	0.0810583i
$953$	28.7057	−	24.0869i	0.929869	−	0.780252i	−0.0459252	−	0.998945i	$-0.514624\pi$
$953$	28.7057	−	24.0869i	0.929869	−	0.780252i	0.975794	+	0.218692i	$0.0701791\pi$
$954$	23.3366	−	8.49384i	0.755551	−	0.274998i
$955$	17.5718	+	6.39560i	0.568609	+	0.206957i
$956$	4.14633	+	3.47919i	0.134102	+	0.112525i
$957$	10.9981	−	19.0493i	0.355519	−	0.615776i
$958$	−19.8524	−	34.3853i	−0.641401	−	1.11094i
$959$	0.940009	−	5.33106i	0.0303545	−	0.172149i
$960$	−1.74458	+	9.89398i	−0.0563059	+	0.319327i
$961$	11.9589	+	20.7134i	0.385770	+	0.668173i
$962$	3.41158	−	5.90903i	0.109994	−	0.190515i
$963$	−5.14824	−	4.31989i	−0.165900	−	0.139206i
$964$	3.00338	+	1.09314i	0.0967324	+	0.0352077i
$965$	62.8487	−	22.8751i	2.02317	−	0.736374i
$966$	3.76028	−	3.15525i	0.120985	−	0.101518i
$967$	2.67998	+	15.1989i	0.0861823	+	0.488764i	0.997095	+	0.0761654i	$0.0242677\pi$
$967$	2.67998	+	15.1989i	0.0861823	+	0.488764i	−0.910913	+	0.412599i	$0.864621\pi$
$968$	−1.00000			−0.0321412
$969$	−87.3706	−	0.506558i	−2.80675	−	0.0162730i
$970$	2.38572			0.0766007
$971$	0.685784	+	3.88928i	0.0220079	+	0.124813i	0.993832	−	0.110893i	$-0.0353710\pi$
$971$	0.685784	+	3.88928i	0.0220079	+	0.124813i	−0.971825	+	0.235706i	$0.924260\pi$
$972$	15.8734	−	13.3194i	0.509140	−	0.427219i
$973$	5.02328	−	1.82833i	0.161039	−	0.0586134i
$974$	−35.6344	−	12.9699i	−1.14180	−	0.415581i
$975$	−14.5984	−	12.2496i	−0.467524	−	0.392300i
$976$	−1.76112	+	3.05035i	−0.0563721	+	0.0976393i
$977$	−17.5115	−	30.3308i	−0.560243	−	0.970369i	−0.997475	−	0.0710202i	$-0.977375\pi$
$977$	−17.5115	−	30.3308i	−0.560243	−	0.970369i	0.437232	−	0.899349i	$-0.355959\pi$
$978$	9.89674	−	56.1272i	0.316463	−	1.79475i
$979$	1.84866	−	10.4842i	0.0590833	−	0.335078i
$980$	12.9740	+	22.4716i	0.414439	+	0.717830i
$981$	−1.03076	+	1.78534i	−0.0329098	+	0.0570014i
$982$	−18.2888	−	15.3461i	−0.583618	−	0.489714i
$983$	14.5111	+	5.28161i	0.462832	+	0.168457i	0.562903	−	0.826523i	$-0.309685\pi$
$983$	14.5111	+	5.28161i	0.462832	+	0.168457i	−0.100070	+	0.994980i	$0.531907\pi$
$984$	24.7110	−	8.99407i	0.787758	−	0.286721i
$985$	−54.1375	+	45.4267i	−1.72496	+	1.44742i
$986$	−10.7711	−	61.0861i	−0.343023	−	1.94538i
$987$	9.05321			0.288167
$988$	−3.18906	+	1.13983i	−0.101457	+	0.0362627i
$989$	28.0152			0.890832
$990$	−2.68815	−	15.2453i	−0.0854350	−	0.484526i
$991$	−24.5183	+	20.5733i	−0.778848	+	0.653531i	−0.942958	−	0.332911i	$-0.891969\pi$
$991$	−24.5183	+	20.5733i	−0.778848	+	0.653531i	0.164110	+	0.986442i	$0.447525\pi$
$992$	2.50076	−	0.910203i	0.0793993	−	0.0288990i
$993$	29.4490	+	10.7186i	0.934537	+	0.340144i
$994$	0.823443	+	0.690951i	0.0261180	+	0.0219156i
$995$	−35.6534	+	61.7535i	−1.13029	+	1.95772i
$996$	−3.69074	−	6.39256i	−0.116946	−	0.202556i
$997$	−0.285717	+	1.62038i	−0.00904875	+	0.0513180i	−0.988998	−	0.147930i	$-0.952739\pi$
$997$	−0.285717	+	1.62038i	−0.00904875	+	0.0513180i	0.979949	+	0.199248i	$0.0638500\pi$
$998$	−1.01929	+	5.78066i	−0.0322650	+	0.182984i
$999$	12.9723	+	22.4686i	0.410425	+	0.710877i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.j.c.199.1	✓	30
19.6	even	9		7942.2.a.bz.1.3		15
19.13	odd	18		7942.2.a.cb.1.13		15
19.17	even	9	inner	418.2.j.c.397.1	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.j.c.199.1	✓	30	1.1	even	1	trivial
418.2.j.c.397.1	yes	30	19.17	even	9	inner
7942.2.a.bz.1.3		15	19.6	even	9
7942.2.a.cb.1.13		15	19.13	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 - 0.984808i) q^{2} +(-2.04235 + 1.71374i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-3.54102 - 1.28883i) q^{5} +(2.04235 + 1.71374i) q^{6} +(0.168894 - 0.292534i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.713363 - 4.04568i) q^{9} +O(q^{10})\)	\(q+(-0.173648 - 0.984808i) q^{2} +(-2.04235 + 1.71374i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-3.54102 - 1.28883i) q^{5} +(2.04235 + 1.71374i) q^{6} +(0.168894 - 0.292534i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.713363 - 4.04568i) q^{9} +(-0.654355 + 3.71103i) q^{10} +(-0.500000 - 0.866025i) q^{11} +(1.33305 - 2.30891i) q^{12} +(0.595176 + 0.499412i) q^{13} +(-0.317418 - 0.115531i) q^{14} +(9.44073 - 3.43614i) q^{15} +(0.766044 - 0.642788i) q^{16} +(1.30554 + 7.40407i) q^{17} -4.10809 q^{18} +(3.35530 - 2.78244i) q^{19} +3.76828 q^{20} +(0.156384 + 0.886897i) q^{21} +(-0.766044 + 0.642788i) q^{22} +(5.12189 - 1.86421i) q^{23} +(-2.50532 - 0.911860i) q^{24} +(7.04756 + 5.91360i) q^{25} +(0.388474 - 0.672856i) q^{26} +(1.47714 + 2.55849i) q^{27} +(-0.0586564 + 0.332657i) q^{28} +(1.43266 - 8.12500i) q^{29} +(-5.02331 - 8.70062i) q^{30} +(-1.33063 + 2.30471i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(2.50532 + 0.911860i) q^{33} +(7.06488 - 2.57141i) q^{34} +(-0.975085 + 0.818193i) q^{35} +(0.713363 + 4.04568i) q^{36} +8.78201 q^{37} +(-3.32281 - 2.82116i) q^{38} -2.07142 q^{39} +(-0.654355 - 3.71103i) q^{40} +(-7.55583 + 6.34009i) q^{41} +(0.846267 - 0.308016i) q^{42} +(4.82987 + 1.75793i) q^{43} +(0.766044 + 0.642788i) q^{44} +(-7.74022 + 13.4065i) q^{45} +(-2.72530 - 4.72036i) q^{46} +(1.74562 - 9.89993i) q^{47} +(-0.462964 + 2.62560i) q^{48} +(3.44295 + 5.96336i) q^{49} +(4.59997 - 7.96738i) q^{50} +(-15.3550 - 12.8844i) q^{51} +(-0.730092 - 0.265732i) q^{52} +(-5.68065 + 2.06759i) q^{53} +(2.26311 - 1.89898i) q^{54} +(0.654355 + 3.71103i) q^{55} +0.337789 q^{56} +(-2.08433 + 11.4328i) q^{57} -8.25034 q^{58} +(-1.10977 - 6.29382i) q^{59} +(-7.69615 + 6.45784i) q^{60} +(-3.30982 + 1.20468i) q^{61} +(2.50076 + 0.910203i) q^{62} +(-1.06301 - 0.891975i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-1.46388 - 2.53551i) q^{65} +(0.462964 - 2.62560i) q^{66} +(-0.588708 + 3.33873i) q^{67} +(-3.75915 - 6.51103i) q^{68} +(-7.26592 + 12.5849i) q^{69} +(0.975085 + 0.818193i) q^{70} +(-2.99034 - 1.08839i) q^{71} +(3.86034 - 1.40505i) q^{72} +(8.49609 - 7.12907i) q^{73} +(-1.52498 - 8.64859i) q^{74} -24.5279 q^{75} +(-2.20130 + 3.76222i) q^{76} -0.337789 q^{77} +(0.359698 + 2.03995i) q^{78} +(4.55185 - 3.81946i) q^{79} +(-3.54102 + 1.28883i) q^{80} +(4.17962 + 1.52126i) q^{81} +(7.55583 + 6.34009i) q^{82} +(1.38432 - 2.39772i) q^{83} +(-0.450289 - 0.779924i) q^{84} +(4.91963 - 27.9006i) q^{85} +(0.892524 - 5.06176i) q^{86} +(10.9981 + 19.0493i) q^{87} +(0.500000 - 0.866025i) q^{88} +(8.15530 + 6.84311i) q^{89} +(14.5469 + 5.29462i) q^{90} +(0.246617 - 0.0897611i) q^{91} +(-4.17540 + 3.50358i) q^{92} +(-1.23206 - 6.98738i) q^{93} -10.0527 q^{94} +(-15.4673 + 5.52829i) q^{95} +2.66610 q^{96} +(-0.109937 - 0.623486i) q^{97} +(5.27490 - 4.42617i) q^{98} +(-3.86034 + 1.40505i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 12 q^{7} + 15 q^{8}+O(q^{10}) \) 30 * q - 12 * q^7 + 15 * q^8	\( 30 q - 12 q^{7} + 15 q^{8} - 15 q^{11} + 3 q^{12} - 3 q^{13} + 9 q^{14} + 27 q^{15} - 36 q^{18} - 9 q^{19} + 18 q^{20} - 27 q^{21} - 3 q^{23} - 12 q^{25} + 3 q^{27} + 9 q^{28} + 3 q^{29} + 9 q^{30} + 30 q^{31} - 9 q^{34} + 15 q^{35} + 18 q^{37} + 6 q^{38} - 6 q^{41} - 45 q^{42} + 39 q^{43} - 18 q^{45} + 21 q^{46} + 45 q^{47} - 33 q^{49} + 36 q^{50} - 36 q^{51} + 6 q^{52} - 24 q^{53} + 45 q^{54} - 24 q^{56} - 24 q^{57} - 30 q^{58} + 3 q^{59} - 9 q^{60} - 27 q^{61} + 15 q^{62} - 93 q^{63} - 15 q^{64} + 18 q^{65} - 9 q^{67} - 21 q^{68} + 48 q^{69} - 15 q^{70} + 39 q^{73} + 3 q^{74} - 42 q^{75} - 15 q^{76} + 24 q^{77} + 6 q^{78} + 21 q^{79} + 84 q^{81} + 6 q^{82} - 36 q^{83} - 27 q^{84} + 63 q^{85} + 6 q^{86} - 21 q^{87} + 15 q^{88} + 54 q^{89} + 12 q^{90} + 3 q^{91} - 3 q^{92} + 51 q^{93} - 78 q^{94} + 6 q^{95} + 6 q^{96} - 18 q^{97} + 3 q^{98}+O(q^{100}) \) 30 * q - 12 * q^7 + 15 * q^8 - 15 * q^11 + 3 * q^12 - 3 * q^13 + 9 * q^14 + 27 * q^15 - 36 * q^18 - 9 * q^19 + 18 * q^20 - 27 * q^21 - 3 * q^23 - 12 * q^25 + 3 * q^27 + 9 * q^28 + 3 * q^29 + 9 * q^30 + 30 * q^31 - 9 * q^34 + 15 * q^35 + 18 * q^37 + 6 * q^38 - 6 * q^41 - 45 * q^42 + 39 * q^43 - 18 * q^45 + 21 * q^46 + 45 * q^47 - 33 * q^49 + 36 * q^50 - 36 * q^51 + 6 * q^52 - 24 * q^53 + 45 * q^54 - 24 * q^56 - 24 * q^57 - 30 * q^58 + 3 * q^59 - 9 * q^60 - 27 * q^61 + 15 * q^62 - 93 * q^63 - 15 * q^64 + 18 * q^65 - 9 * q^67 - 21 * q^68 + 48 * q^69 - 15 * q^70 + 39 * q^73 + 3 * q^74 - 42 * q^75 - 15 * q^76 + 24 * q^77 + 6 * q^78 + 21 * q^79 + 84 * q^81 + 6 * q^82 - 36 * q^83 - 27 * q^84 + 63 * q^85 + 6 * q^86 - 21 * q^87 + 15 * q^88 + 54 * q^89 + 12 * q^90 + 3 * q^91 - 3 * q^92 + 51 * q^93 - 78 * q^94 + 6 * q^95 + 6 * q^96 - 18 * q^97 + 3 * q^98

Introduction

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